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Finding the Third Proportional to 527,920 and 849,984

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Solution

The third proportional to 527,920 and 849,984 is: 1,368,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,920 : 849,984 = 849,984 : x
  2. Step 2: Convert to fraction form
    527,920/849,984 = 849,984/x
  3. Step 3: Cross multiply
    527,920x = 849,984 × 849,984
  4. Step 4: Simplify right side
    527,920x = 722,472,800,256
  5. Step 5: Solve for x
    x = 722,472,800,256/527,920
  6. Step 6: Final answer
    x = 1,368,527.05

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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.