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Finding the Third Proportional to 573,520 and 891,632

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Solution

The third proportional to 573,520 and 891,632 is: 1,386,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,520 : 891,632 = 891,632 : x
  2. Step 2: Convert to fraction form
    573,520/891,632 = 891,632/x
  3. Step 3: Cross multiply
    573,520x = 891,632 × 891,632
  4. Step 4: Simplify right side
    573,520x = 795,007,623,424
  5. Step 5: Solve for x
    x = 795,007,623,424/573,520
  6. Step 6: Final answer
    x = 1,386,189.89

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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.