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Finding the Third Proportional to 350,030.25 and 748,041.75

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Solution

The third proportional to 350,030.25 and 748,041.75 is: 1,598,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,030.25 : 748,041.75 = 748,041.75 : x
  2. Step 2: Convert to fraction form
    350,030.25/748,041.75 = 748,041.75/x
  3. Step 3: Cross multiply
    350,030.25x = 748,041.75 × 748,041.75
  4. Step 4: Simplify right side
    350,030.25x = 559,566,459,743.06
  5. Step 5: Solve for x
    x = 559,566,459,743.06/350,030.25
  6. Step 6: Final answer
    x = 1,598,623.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.