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Finding the Third Proportional to 417,038.63 and 910,531.13

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Solution

The third proportional to 417,038.63 and 910,531.13 is: 1,987,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,038.63 : 910,531.13 = 910,531.13 : x
  2. Step 2: Convert to fraction form
    417,038.63/910,531.13 = 910,531.13/x
  3. Step 3: Cross multiply
    417,038.63x = 910,531.13 × 910,531.13
  4. Step 4: Simplify right side
    417,038.63x = 829,066,929,593.77
  5. Step 5: Solve for x
    x = 829,066,929,593.77/417,038.63
  6. Step 6: Final answer
    x = 1,987,985.96

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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.