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Finding the Third Proportional to 527,904 and 849,960

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Solution

The third proportional to 527,904 and 849,960 is: 1,368,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,904 : 849,960 = 849,960 : x
  2. Step 2: Convert to fraction form
    527,904/849,960 = 849,960/x
  3. Step 3: Cross multiply
    527,904x = 849,960 × 849,960
  4. Step 4: Simplify right side
    527,904x = 722,432,001,600
  5. Step 5: Solve for x
    x = 722,432,001,600/527,904
  6. Step 6: Final answer
    x = 1,368,491.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.