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Finding the Third Proportional to 576,952.88 and 846,703.13

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Solution

The third proportional to 576,952.88 and 846,703.13 is: 1,242,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,952.88 : 846,703.13 = 846,703.13 : x
  2. Step 2: Convert to fraction form
    576,952.88/846,703.13 = 846,703.13/x
  3. Step 3: Cross multiply
    576,952.88x = 846,703.13 × 846,703.13
  4. Step 4: Simplify right side
    576,952.88x = 716,906,181,884.77
  5. Step 5: Solve for x
    x = 716,906,181,884.77/576,952.88
  6. Step 6: Final answer
    x = 1,242,573.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.