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Finding the Third Proportional to 657,471.94 and 1,050,301.69

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Solution

The third proportional to 657,471.94 and 1,050,301.69 is: 1,677,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,471.94 : 1,050,301.69 = 1,050,301.69 : x
  2. Step 2: Convert to fraction form
    657,471.94/1,050,301.69 = 1,050,301.69/x
  3. Step 3: Cross multiply
    657,471.94x = 1,050,301.69 × 1,050,301.69
  4. Step 4: Simplify right side
    657,471.94x = 1,103,133,634,765.35
  5. Step 5: Solve for x
    x = 1,103,133,634,765.35/657,471.94
  6. Step 6: Final answer
    x = 1,677,841.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.