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Finding the Third Proportional to 532,322.51 and 804,834.88

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Solution

The third proportional to 532,322.51 and 804,834.88 is: 1,216,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,322.51 : 804,834.88 = 804,834.88 : x
  2. Step 2: Convert to fraction form
    532,322.51/804,834.88 = 804,834.88/x
  3. Step 3: Cross multiply
    532,322.51x = 804,834.88 × 804,834.88
  4. Step 4: Simplify right side
    532,322.51x = 647,759,182,304.04
  5. Step 5: Solve for x
    x = 647,759,182,304.04/532,322.51
  6. Step 6: Final answer
    x = 1,216,854.77

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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.