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Finding the Third Proportional to 303,702,526.50 and 453,563,653.50

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Solution

The third proportional to 303,702,526.50 and 453,563,653.50 is: 677,373,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,702,526.50 : 453,563,653.50 = 453,563,653.50 : x
  2. Step 2: Convert to fraction form
    303,702,526.50/453,563,653.50 = 453,563,653.50/x
  3. Step 3: Cross multiply
    303,702,526.50x = 453,563,653.50 × 453,563,653.50
  4. Step 4: Simplify right side
    303,702,526.50x = 205,719,987,776,268,064
  5. Step 5: Solve for x
    x = 205,719,987,776,268,064/303,702,526.50
  6. Step 6: Final answer
    x = 677,373,317.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.