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Finding the Third Proportional to 315,151 and 472,946

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Solution

The third proportional to 315,151 and 472,946 is: 709,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,151 : 472,946 = 472,946 : x
  2. Step 2: Convert to fraction form
    315,151/472,946 = 472,946/x
  3. Step 3: Cross multiply
    315,151x = 472,946 × 472,946
  4. Step 4: Simplify right side
    315,151x = 223,677,918,916
  5. Step 5: Solve for x
    x = 223,677,918,916/315,151
  6. Step 6: Final answer
    x = 709,748.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.