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Finding the Third Proportional to 621,495.28 and 970,018.03

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Solution

The third proportional to 621,495.28 and 970,018.03 is: 1,513,985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,495.28 : 970,018.03 = 970,018.03 : x
  2. Step 2: Convert to fraction form
    621,495.28/970,018.03 = 970,018.03/x
  3. Step 3: Cross multiply
    621,495.28x = 970,018.03 × 970,018.03
  4. Step 4: Simplify right side
    621,495.28x = 940,934,980,950.13
  5. Step 5: Solve for x
    x = 940,934,980,950.13/621,495.28
  6. Step 6: Final answer
    x = 1,513,985.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.