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Finding the Third Proportional to 592,568 and 846,776

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Solution

The third proportional to 592,568 and 846,776 is: 1,210,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,568 : 846,776 = 846,776 : x
  2. Step 2: Convert to fraction form
    592,568/846,776 = 846,776/x
  3. Step 3: Cross multiply
    592,568x = 846,776 × 846,776
  4. Step 4: Simplify right side
    592,568x = 717,029,594,176
  5. Step 5: Solve for x
    x = 717,029,594,176/592,568
  6. Step 6: Final answer
    x = 1,210,037.66

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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.