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Finding the Third Proportional to 469,127 and 726,641

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Solution

The third proportional to 469,127 and 726,641 is: 1,125,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,127 : 726,641 = 726,641 : x
  2. Step 2: Convert to fraction form
    469,127/726,641 = 726,641/x
  3. Step 3: Cross multiply
    469,127x = 726,641 × 726,641
  4. Step 4: Simplify right side
    469,127x = 528,007,142,881
  5. Step 5: Solve for x
    x = 528,007,142,881/469,127
  6. Step 6: Final answer
    x = 1,125,510.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.