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Finding the Third Proportional to 484,098 and 710,594

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Solution

The third proportional to 484,098 and 710,594 is: 1,043,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,098 : 710,594 = 710,594 : x
  2. Step 2: Convert to fraction form
    484,098/710,594 = 710,594/x
  3. Step 3: Cross multiply
    484,098x = 710,594 × 710,594
  4. Step 4: Simplify right side
    484,098x = 504,943,832,836
  5. Step 5: Solve for x
    x = 504,943,832,836/484,098
  6. Step 6: Final answer
    x = 1,043,061.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.