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Finding the Third Proportional to 390,176,428 and 563,737,557

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Solution

The third proportional to 390,176,428 and 563,737,557 is: 814,503,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,176,428 : 563,737,557 = 563,737,557 : x
  2. Step 2: Convert to fraction form
    390,176,428/563,737,557 = 563,737,557/x
  3. Step 3: Cross multiply
    390,176,428x = 563,737,557 × 563,737,557
  4. Step 4: Simplify right side
    390,176,428x = 317,800,033,172,328,256
  5. Step 5: Solve for x
    x = 317,800,033,172,328,256/390,176,428
  6. Step 6: Final answer
    x = 814,503,415.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.