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Finding the Third Proportional to 554,784 and 812,424

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Solution

The third proportional to 554,784 and 812,424 is: 1,189,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,784 : 812,424 = 812,424 : x
  2. Step 2: Convert to fraction form
    554,784/812,424 = 812,424/x
  3. Step 3: Cross multiply
    554,784x = 812,424 × 812,424
  4. Step 4: Simplify right side
    554,784x = 660,032,755,776
  5. Step 5: Solve for x
    x = 660,032,755,776/554,784
  6. Step 6: Final answer
    x = 1,189,711.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.