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Finding the Third Proportional to 592,434 and 846,588

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Solution

The third proportional to 592,434 and 846,588 is: 1,209,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,434 : 846,588 = 846,588 : x
  2. Step 2: Convert to fraction form
    592,434/846,588 = 846,588/x
  3. Step 3: Cross multiply
    592,434x = 846,588 × 846,588
  4. Step 4: Simplify right side
    592,434x = 716,711,241,744
  5. Step 5: Solve for x
    x = 716,711,241,744/592,434
  6. Step 6: Final answer
    x = 1,209,773.99

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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.