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Finding the Third Proportional to 423,596 and 592,484

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Solution

The third proportional to 423,596 and 592,484 is: 828,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,596 : 592,484 = 592,484 : x
  2. Step 2: Convert to fraction form
    423,596/592,484 = 592,484/x
  3. Step 3: Cross multiply
    423,596x = 592,484 × 592,484
  4. Step 4: Simplify right side
    423,596x = 351,037,290,256
  5. Step 5: Solve for x
    x = 351,037,290,256/423,596
  6. Step 6: Final answer
    x = 828,707.76

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