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Finding the Third Proportional to 352,945 and 532,709

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Solution

The third proportional to 352,945 and 532,709 is: 804,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,945 : 532,709 = 532,709 : x
  2. Step 2: Convert to fraction form
    352,945/532,709 = 532,709/x
  3. Step 3: Cross multiply
    352,945x = 532,709 × 532,709
  4. Step 4: Simplify right side
    352,945x = 283,778,878,681
  5. Step 5: Solve for x
    x = 283,778,878,681/352,945
  6. Step 6: Final answer
    x = 804,031.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.