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Finding the Third Proportional to 348,688.13 and 511,086.38

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Solution

The third proportional to 348,688.13 and 511,086.38 is: 749,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,688.13 : 511,086.38 = 511,086.38 : x
  2. Step 2: Convert to fraction form
    348,688.13/511,086.38 = 511,086.38/x
  3. Step 3: Cross multiply
    348,688.13x = 511,086.38 × 511,086.38
  4. Step 4: Simplify right side
    348,688.13x = 261,209,282,710.64
  5. Step 5: Solve for x
    x = 261,209,282,710.64/348,688.13
  6. Step 6: Final answer
    x = 749,120.10

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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.