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Finding the Third Proportional to 532,304 and 846,540

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Solution

The third proportional to 532,304 and 846,540 is: 1,346,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,304 : 846,540 = 846,540 : x
  2. Step 2: Convert to fraction form
    532,304/846,540 = 846,540/x
  3. Step 3: Cross multiply
    532,304x = 846,540 × 846,540
  4. Step 4: Simplify right side
    532,304x = 716,629,971,600
  5. Step 5: Solve for x
    x = 716,629,971,600/532,304
  6. Step 6: Final answer
    x = 1,346,279.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.