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Finding the Third Proportional to 407,656,389.94 and 623,340,721.97

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Solution

The third proportional to 407,656,389.94 and 623,340,721.97 is: 953,140,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,656,389.94 : 623,340,721.97 = 623,340,721.97 : x
  2. Step 2: Convert to fraction form
    407,656,389.94/623,340,721.97 = 623,340,721.97/x
  3. Step 3: Cross multiply
    407,656,389.94x = 623,340,721.97 × 623,340,721.97
  4. Step 4: Simplify right side
    407,656,389.94x = 388,553,655,664,522,496
  5. Step 5: Solve for x
    x = 388,553,655,664,522,496/407,656,389.94
  6. Step 6: Final answer
    x = 953,140,108.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.