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Finding the Third Proportional to 464,451.75 and 717,813

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Solution

The third proportional to 464,451.75 and 717,813 is: 1,109,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,451.75 : 717,813 = 717,813 : x
  2. Step 2: Convert to fraction form
    464,451.75/717,813 = 717,813/x
  3. Step 3: Cross multiply
    464,451.75x = 717,813 × 717,813
  4. Step 4: Simplify right side
    464,451.75x = 515,255,502,969
  5. Step 5: Solve for x
    x = 515,255,502,969/464,451.75
  6. Step 6: Final answer
    x = 1,109,384.35

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