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Finding the Third Proportional to 553,684 and 791,762

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Solution

The third proportional to 553,684 and 791,762 is: 1,132,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,684 : 791,762 = 791,762 : x
  2. Step 2: Convert to fraction form
    553,684/791,762 = 791,762/x
  3. Step 3: Cross multiply
    553,684x = 791,762 × 791,762
  4. Step 4: Simplify right side
    553,684x = 626,887,064,644
  5. Step 5: Solve for x
    x = 626,887,064,644/553,684
  6. Step 6: Final answer
    x = 1,132,210.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.