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Finding the Third Proportional to 495,141 and 747,450

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Solution

The third proportional to 495,141 and 747,450 is: 1,128,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,141 : 747,450 = 747,450 : x
  2. Step 2: Convert to fraction form
    495,141/747,450 = 747,450/x
  3. Step 3: Cross multiply
    495,141x = 747,450 × 747,450
  4. Step 4: Simplify right side
    495,141x = 558,681,502,500
  5. Step 5: Solve for x
    x = 558,681,502,500/495,141
  6. Step 6: Final answer
    x = 1,128,328.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.