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Finding the Third Proportional to 323,837,292 and 473,610,573

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Solution

The third proportional to 323,837,292 and 473,610,573 is: 692,653,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,837,292 : 473,610,573 = 473,610,573 : x
  2. Step 2: Convert to fraction form
    323,837,292/473,610,573 = 473,610,573/x
  3. Step 3: Cross multiply
    323,837,292x = 473,610,573 × 473,610,573
  4. Step 4: Simplify right side
    323,837,292x = 224,306,974,857,388,320
  5. Step 5: Solve for x
    x = 224,306,974,857,388,320/323,837,292
  6. Step 6: Final answer
    x = 692,653,318.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.