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Finding the Third Proportional to 527,779,584 and 715,980,838

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Solution

The third proportional to 527,779,584 and 715,980,838 is: 971,292,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,779,584 : 715,980,838 = 715,980,838 : x
  2. Step 2: Convert to fraction form
    527,779,584/715,980,838 = 715,980,838/x
  3. Step 3: Cross multiply
    527,779,584x = 715,980,838 × 715,980,838
  4. Step 4: Simplify right side
    527,779,584x = 512,628,560,383,182,272
  5. Step 5: Solve for x
    x = 512,628,560,383,182,272/527,779,584
  6. Step 6: Final answer
    x = 971,292,895.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.