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Finding the Third Proportional to 588,076 and 864,884

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Solution

The third proportional to 588,076 and 864,884 is: 1,271,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,076 : 864,884 = 864,884 : x
  2. Step 2: Convert to fraction form
    588,076/864,884 = 864,884/x
  3. Step 3: Cross multiply
    588,076x = 864,884 × 864,884
  4. Step 4: Simplify right side
    588,076x = 748,024,333,456
  5. Step 5: Solve for x
    x = 748,024,333,456/588,076
  6. Step 6: Final answer
    x = 1,271,985.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.