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Finding the Third Proportional to 349,029 and 559,990.13

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Solution

The third proportional to 349,029 and 559,990.13 is: 898,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,029 : 559,990.13 = 559,990.13 : x
  2. Step 2: Convert to fraction form
    349,029/559,990.13 = 559,990.13/x
  3. Step 3: Cross multiply
    349,029x = 559,990.13 × 559,990.13
  4. Step 4: Simplify right side
    349,029x = 313,588,940,097.52
  5. Step 5: Solve for x
    x = 313,588,940,097.52/349,029
  6. Step 6: Final answer
    x = 898,460.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.