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Finding the Third Proportional to 558,507 and 884,781

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Solution

The third proportional to 558,507 and 884,781 is: 1,401,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,507 : 884,781 = 884,781 : x
  2. Step 2: Convert to fraction form
    558,507/884,781 = 884,781/x
  3. Step 3: Cross multiply
    558,507x = 884,781 × 884,781
  4. Step 4: Simplify right side
    558,507x = 782,837,417,961
  5. Step 5: Solve for x
    x = 782,837,417,961/558,507
  6. Step 6: Final answer
    x = 1,401,660.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.