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Finding the Third Proportional to 361,913 and 532,343

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Solution

The third proportional to 361,913 and 532,343 is: 783,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,913 : 532,343 = 532,343 : x
  2. Step 2: Convert to fraction form
    361,913/532,343 = 532,343/x
  3. Step 3: Cross multiply
    361,913x = 532,343 × 532,343
  4. Step 4: Simplify right side
    361,913x = 283,389,069,649
  5. Step 5: Solve for x
    x = 283,389,069,649/361,913
  6. Step 6: Final answer
    x = 783,030.92

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Why These Related Problems?

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