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Finding the Third Proportional to 346,648 and 532,588

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Solution

The third proportional to 346,648 and 532,588 is: 818,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,648 : 532,588 = 532,588 : x
  2. Step 2: Convert to fraction form
    346,648/532,588 = 532,588/x
  3. Step 3: Cross multiply
    346,648x = 532,588 × 532,588
  4. Step 4: Simplify right side
    346,648x = 283,649,977,744
  5. Step 5: Solve for x
    x = 283,649,977,744/346,648
  6. Step 6: Final answer
    x = 818,265.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.