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Finding the Third Proportional to 532,748 and 804,648

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Solution

The third proportional to 532,748 and 804,648 is: 1,215,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,748 : 804,648 = 804,648 : x
  2. Step 2: Convert to fraction form
    532,748/804,648 = 804,648/x
  3. Step 3: Cross multiply
    532,748x = 804,648 × 804,648
  4. Step 4: Simplify right side
    532,748x = 647,458,403,904
  5. Step 5: Solve for x
    x = 647,458,403,904/532,748
  6. Step 6: Final answer
    x = 1,215,318.32

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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.