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Finding the Third Proportional to 413,944 and 607,289

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Solution

The third proportional to 413,944 and 607,289 is: 890,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,944 : 607,289 = 607,289 : x
  2. Step 2: Convert to fraction form
    413,944/607,289 = 607,289/x
  3. Step 3: Cross multiply
    413,944x = 607,289 × 607,289
  4. Step 4: Simplify right side
    413,944x = 368,799,929,521
  5. Step 5: Solve for x
    x = 368,799,929,521/413,944
  6. Step 6: Final answer
    x = 890,941.60

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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.