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Finding the Third Proportional to 346,002 and 748,864.50

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Solution

The third proportional to 346,002 and 748,864.50 is: 1,620,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,002 : 748,864.50 = 748,864.50 : x
  2. Step 2: Convert to fraction form
    346,002/748,864.50 = 748,864.50/x
  3. Step 3: Cross multiply
    346,002x = 748,864.50 × 748,864.50
  4. Step 4: Simplify right side
    346,002x = 560,798,039,360.25
  5. Step 5: Solve for x
    x = 560,798,039,360.25/346,002
  6. Step 6: Final answer
    x = 1,620,794.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.