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Finding the Third Proportional to 484,100 and 710,596

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Solution

The third proportional to 484,100 and 710,596 is: 1,043,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,100 : 710,596 = 710,596 : x
  2. Step 2: Convert to fraction form
    484,100/710,596 = 710,596/x
  3. Step 3: Cross multiply
    484,100x = 710,596 × 710,596
  4. Step 4: Simplify right side
    484,100x = 504,946,675,216
  5. Step 5: Solve for x
    x = 504,946,675,216/484,100
  6. Step 6: Final answer
    x = 1,043,062.75

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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.