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Finding the Third Proportional to 417,041.50 and 910,537

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Solution

The third proportional to 417,041.50 and 910,537 is: 1,987,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,041.50 : 910,537 = 910,537 : x
  2. Step 2: Convert to fraction form
    417,041.50/910,537 = 910,537/x
  3. Step 3: Cross multiply
    417,041.50x = 910,537 × 910,537
  4. Step 4: Simplify right side
    417,041.50x = 829,077,628,369
  5. Step 5: Solve for x
    x = 829,077,628,369/417,041.50
  6. Step 6: Final answer
    x = 1,987,997.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.