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Finding the Third Proportional to 474,981.75 and 710,100

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Solution

The third proportional to 474,981.75 and 710,100 is: 1,061,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,981.75 : 710,100 = 710,100 : x
  2. Step 2: Convert to fraction form
    474,981.75/710,100 = 710,100/x
  3. Step 3: Cross multiply
    474,981.75x = 710,100 × 710,100
  4. Step 4: Simplify right side
    474,981.75x = 504,242,010,000
  5. Step 5: Solve for x
    x = 504,242,010,000/474,981.75
  6. Step 6: Final answer
    x = 1,061,602.91

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Why These Related Problems?

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