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Finding the Third Proportional to 525,972 and 744,246

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Solution

The third proportional to 525,972 and 744,246 is: 1,053,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,972 : 744,246 = 744,246 : x
  2. Step 2: Convert to fraction form
    525,972/744,246 = 744,246/x
  3. Step 3: Cross multiply
    525,972x = 744,246 × 744,246
  4. Step 4: Simplify right side
    525,972x = 553,902,108,516
  5. Step 5: Solve for x
    x = 553,902,108,516/525,972
  6. Step 6: Final answer
    x = 1,053,101.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.