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Finding the Third Proportional to 413,984 and 607,341

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Solution

The third proportional to 413,984 and 607,341 is: 891,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,984 : 607,341 = 607,341 : x
  2. Step 2: Convert to fraction form
    413,984/607,341 = 607,341/x
  3. Step 3: Cross multiply
    413,984x = 607,341 × 607,341
  4. Step 4: Simplify right side
    413,984x = 368,863,090,281
  5. Step 5: Solve for x
    x = 368,863,090,281/413,984
  6. Step 6: Final answer
    x = 891,008.08

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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.