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Finding the Third Proportional to 592,703.16 and 846,960.47

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Solution

The third proportional to 592,703.16 and 846,960.47 is: 1,210,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,703.16 : 846,960.47 = 846,960.47 : x
  2. Step 2: Convert to fraction form
    592,703.16/846,960.47 = 846,960.47/x
  3. Step 3: Cross multiply
    592,703.16x = 846,960.47 × 846,960.47
  4. Step 4: Simplify right side
    592,703.16x = 717,342,035,625.22
  5. Step 5: Solve for x
    x = 717,342,035,625.22/592,703.16
  6. Step 6: Final answer
    x = 1,210,288.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.