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Finding the Third Proportional to 532,008 and 717,768

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Solution

The third proportional to 532,008 and 717,768 is: 968,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,008 : 717,768 = 717,768 : x
  2. Step 2: Convert to fraction form
    532,008/717,768 = 717,768/x
  3. Step 3: Cross multiply
    532,008x = 717,768 × 717,768
  4. Step 4: Simplify right side
    532,008x = 515,190,901,824
  5. Step 5: Solve for x
    x = 515,190,901,824/532,008
  6. Step 6: Final answer
    x = 968,389.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.