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Finding the Third Proportional to 511,089.75 and 748,045.13

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Solution

The third proportional to 511,089.75 and 748,045.13 is: 1,094,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,089.75 : 748,045.13 = 748,045.13 : x
  2. Step 2: Convert to fraction form
    511,089.75/748,045.13 = 748,045.13/x
  3. Step 3: Cross multiply
    511,089.75x = 748,045.13 × 748,045.13
  4. Step 4: Simplify right side
    511,089.75x = 559,571,509,036.27
  5. Step 5: Solve for x
    x = 559,571,509,036.27/511,089.75
  6. Step 6: Final answer
    x = 1,094,859.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.