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Finding the Third Proportional to 423,927 and 592,974

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Solution

The third proportional to 423,927 and 592,974 is: 829,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,927 : 592,974 = 592,974 : x
  2. Step 2: Convert to fraction form
    423,927/592,974 = 592,974/x
  3. Step 3: Cross multiply
    423,927x = 592,974 × 592,974
  4. Step 4: Simplify right side
    423,927x = 351,618,164,676
  5. Step 5: Solve for x
    x = 351,618,164,676/423,927
  6. Step 6: Final answer
    x = 829,430.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.