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Finding the Third Proportional to 486,724 and 750,102

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Solution

The third proportional to 486,724 and 750,102 is: 1,156,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,724 : 750,102 = 750,102 : x
  2. Step 2: Convert to fraction form
    486,724/750,102 = 750,102/x
  3. Step 3: Cross multiply
    486,724x = 750,102 × 750,102
  4. Step 4: Simplify right side
    486,724x = 562,653,010,404
  5. Step 5: Solve for x
    x = 562,653,010,404/486,724
  6. Step 6: Final answer
    x = 1,156,000.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.