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Finding the Third Proportional to 464,508 and 717,904.50

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Solution

The third proportional to 464,508 and 717,904.50 is: 1,109,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,508 : 717,904.50 = 717,904.50 : x
  2. Step 2: Convert to fraction form
    464,508/717,904.50 = 717,904.50/x
  3. Step 3: Cross multiply
    464,508x = 717,904.50 × 717,904.50
  4. Step 4: Simplify right side
    464,508x = 515,386,871,120.25
  5. Step 5: Solve for x
    x = 515,386,871,120.25/464,508
  6. Step 6: Final answer
    x = 1,109,532.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.