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Finding the Third Proportional to 341,488 and 501,160

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Solution

The third proportional to 341,488 and 501,160 is: 735,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,488 : 501,160 = 501,160 : x
  2. Step 2: Convert to fraction form
    341,488/501,160 = 501,160/x
  3. Step 3: Cross multiply
    341,488x = 501,160 × 501,160
  4. Step 4: Simplify right side
    341,488x = 251,161,345,600
  5. Step 5: Solve for x
    x = 251,161,345,600/341,488
  6. Step 6: Final answer
    x = 735,490.99

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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.