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Finding the Third Proportional to 343,359 and 534,448.13

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Solution

The third proportional to 343,359 and 534,448.13 is: 831,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,359 : 534,448.13 = 534,448.13 : x
  2. Step 2: Convert to fraction form
    343,359/534,448.13 = 534,448.13/x
  3. Step 3: Cross multiply
    343,359x = 534,448.13 × 534,448.13
  4. Step 4: Simplify right side
    343,359x = 285,634,798,316.02
  5. Step 5: Solve for x
    x = 285,634,798,316.02/343,359
  6. Step 6: Final answer
    x = 831,883.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.