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Finding the Third Proportional to 390,071,569 and 534,882,897

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Solution

The third proportional to 390,071,569 and 534,882,897 is: 733,454,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,071,569 : 534,882,897 = 534,882,897 : x
  2. Step 2: Convert to fraction form
    390,071,569/534,882,897 = 534,882,897/x
  3. Step 3: Cross multiply
    390,071,569x = 534,882,897 × 534,882,897
  4. Step 4: Simplify right side
    390,071,569x = 286,099,713,503,112,608
  5. Step 5: Solve for x
    x = 286,099,713,503,112,608/390,071,569
  6. Step 6: Final answer
    x = 733,454,412.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.