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Finding the Third Proportional to 592,713 and 846,974

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Solution

The third proportional to 592,713 and 846,974 is: 1,210,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,713 : 846,974 = 846,974 : x
  2. Step 2: Convert to fraction form
    592,713/846,974 = 846,974/x
  3. Step 3: Cross multiply
    592,713x = 846,974 × 846,974
  4. Step 4: Simplify right side
    592,713x = 717,364,956,676
  5. Step 5: Solve for x
    x = 717,364,956,676/592,713
  6. Step 6: Final answer
    x = 1,210,307.45

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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.