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Finding the Third Proportional to 657,477 and 983,566.13

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Solution

The third proportional to 657,477 and 983,566.13 is: 1,471,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,477 : 983,566.13 = 983,566.13 : x
  2. Step 2: Convert to fraction form
    657,477/983,566.13 = 983,566.13/x
  3. Step 3: Cross multiply
    657,477x = 983,566.13 × 983,566.13
  4. Step 4: Simplify right side
    657,477x = 967,402,322,247.52
  5. Step 5: Solve for x
    x = 967,402,322,247.52/657,477
  6. Step 6: Final answer
    x = 1,471,385.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.