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Finding the Third Proportional to 341,487 and 501,159

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Solution

The third proportional to 341,487 and 501,159 is: 735,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,487 : 501,159 = 501,159 : x
  2. Step 2: Convert to fraction form
    341,487/501,159 = 501,159/x
  3. Step 3: Cross multiply
    341,487x = 501,159 × 501,159
  4. Step 4: Simplify right side
    341,487x = 251,160,343,281
  5. Step 5: Solve for x
    x = 251,160,343,281/341,487
  6. Step 6: Final answer
    x = 735,490.20

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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.