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Finding the Third Proportional to 592,705.13 and 846,962.72

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Solution

The third proportional to 592,705.13 and 846,962.72 is: 1,210,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,705.13 : 846,962.72 = 846,962.72 : x
  2. Step 2: Convert to fraction form
    592,705.13/846,962.72 = 846,962.72/x
  3. Step 3: Cross multiply
    592,705.13x = 846,962.72 × 846,962.72
  4. Step 4: Simplify right side
    592,705.13x = 717,345,846,952.39
  5. Step 5: Solve for x
    x = 717,345,846,952.39/592,705.13
  6. Step 6: Final answer
    x = 1,210,291.28

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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.