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Finding the Third Proportional to 466,484 and 742,630

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Solution

The third proportional to 466,484 and 742,630 is: 1,182,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,484 : 742,630 = 742,630 : x
  2. Step 2: Convert to fraction form
    466,484/742,630 = 742,630/x
  3. Step 3: Cross multiply
    466,484x = 742,630 × 742,630
  4. Step 4: Simplify right side
    466,484x = 551,499,316,900
  5. Step 5: Solve for x
    x = 551,499,316,900/466,484
  6. Step 6: Final answer
    x = 1,182,247.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.