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Finding the Third Proportional to 501,870.75 and 715,393.75

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Solution

The third proportional to 501,870.75 and 715,393.75 is: 1,019,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,870.75 : 715,393.75 = 715,393.75 : x
  2. Step 2: Convert to fraction form
    501,870.75/715,393.75 = 715,393.75/x
  3. Step 3: Cross multiply
    501,870.75x = 715,393.75 × 715,393.75
  4. Step 4: Simplify right side
    501,870.75x = 511,788,217,539.06
  5. Step 5: Solve for x
    x = 511,788,217,539.06/501,870.75
  6. Step 6: Final answer
    x = 1,019,761.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.