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Finding the Third Proportional to 474,098 and 720,362

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Solution

The third proportional to 474,098 and 720,362 is: 1,094,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,098 : 720,362 = 720,362 : x
  2. Step 2: Convert to fraction form
    474,098/720,362 = 720,362/x
  3. Step 3: Cross multiply
    474,098x = 720,362 × 720,362
  4. Step 4: Simplify right side
    474,098x = 518,921,411,044
  5. Step 5: Solve for x
    x = 518,921,411,044/474,098
  6. Step 6: Final answer
    x = 1,094,544.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.