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Finding the Third Proportional to 453,838.50 and 702,702

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Solution

The third proportional to 453,838.50 and 702,702 is: 1,088,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,838.50 : 702,702 = 702,702 : x
  2. Step 2: Convert to fraction form
    453,838.50/702,702 = 702,702/x
  3. Step 3: Cross multiply
    453,838.50x = 702,702 × 702,702
  4. Step 4: Simplify right side
    453,838.50x = 493,790,100,804
  5. Step 5: Solve for x
    x = 493,790,100,804/453,838.50
  6. Step 6: Final answer
    x = 1,088,030.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.