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Finding the Third Proportional to 532,768 and 804,678

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Solution

The third proportional to 532,768 and 804,678 is: 1,215,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,768 : 804,678 = 804,678 : x
  2. Step 2: Convert to fraction form
    532,768/804,678 = 804,678/x
  3. Step 3: Cross multiply
    532,768x = 804,678 × 804,678
  4. Step 4: Simplify right side
    532,768x = 647,506,683,684
  5. Step 5: Solve for x
    x = 647,506,683,684/532,768
  6. Step 6: Final answer
    x = 1,215,363.32

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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.