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Finding the Third Proportional to 588,734 and 932,709

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Solution

The third proportional to 588,734 and 932,709 is: 1,477,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,734 : 932,709 = 932,709 : x
  2. Step 2: Convert to fraction form
    588,734/932,709 = 932,709/x
  3. Step 3: Cross multiply
    588,734x = 932,709 × 932,709
  4. Step 4: Simplify right side
    588,734x = 869,946,078,681
  5. Step 5: Solve for x
    x = 869,946,078,681/588,734
  6. Step 6: Final answer
    x = 1,477,655.58

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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.