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Finding the Third Proportional to 501,735 and 715,231.50

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Solution

The third proportional to 501,735 and 715,231.50 is: 1,019,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,735 : 715,231.50 = 715,231.50 : x
  2. Step 2: Convert to fraction form
    501,735/715,231.50 = 715,231.50/x
  3. Step 3: Cross multiply
    501,735x = 715,231.50 × 715,231.50
  4. Step 4: Simplify right side
    501,735x = 511,556,098,592.25
  5. Step 5: Solve for x
    x = 511,556,098,592.25/501,735
  6. Step 6: Final answer
    x = 1,019,574.27

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