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Finding the Third Proportional to 290,711,539.50 and 446,844,480

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Solution

The third proportional to 290,711,539.50 and 446,844,480 is: 686,832,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,711,539.50 : 446,844,480 = 446,844,480 : x
  2. Step 2: Convert to fraction form
    290,711,539.50/446,844,480 = 446,844,480/x
  3. Step 3: Cross multiply
    290,711,539.50x = 446,844,480 × 446,844,480
  4. Step 4: Simplify right side
    290,711,539.50x = 199,669,989,306,470,400
  5. Step 5: Solve for x
    x = 199,669,989,306,470,400/290,711,539.50
  6. Step 6: Final answer
    x = 686,832,004.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.