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Finding the Third Proportional to 303,400,309.50 and 652,847,752.13

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Solution

The third proportional to 303,400,309.50 and 652,847,752.13 is: 1,404,778,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,400,309.50 : 652,847,752.13 = 652,847,752.13 : x
  2. Step 2: Convert to fraction form
    303,400,309.50/652,847,752.13 = 652,847,752.13/x
  3. Step 3: Cross multiply
    303,400,309.50x = 652,847,752.13 × 652,847,752.13
  4. Step 4: Simplify right side
    303,400,309.50x = 426,210,187,454,665,472
  5. Step 5: Solve for x
    x = 426,210,187,454,665,472/303,400,309.50
  6. Step 6: Final answer
    x = 1,404,778,354.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.