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Finding the Third Proportional to 527,970 and 700,098

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Solution

The third proportional to 527,970 and 700,098 is: 928,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,970 : 700,098 = 700,098 : x
  2. Step 2: Convert to fraction form
    527,970/700,098 = 700,098/x
  3. Step 3: Cross multiply
    527,970x = 700,098 × 700,098
  4. Step 4: Simplify right side
    527,970x = 490,137,209,604
  5. Step 5: Solve for x
    x = 490,137,209,604/527,970
  6. Step 6: Final answer
    x = 928,342.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.