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Finding the Third Proportional to 423,592 and 592,478

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Solution

The third proportional to 423,592 and 592,478 is: 828,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,592 : 592,478 = 592,478 : x
  2. Step 2: Convert to fraction form
    423,592/592,478 = 592,478/x
  3. Step 3: Cross multiply
    423,592x = 592,478 × 592,478
  4. Step 4: Simplify right side
    423,592x = 351,030,180,484
  5. Step 5: Solve for x
    x = 351,030,180,484/423,592
  6. Step 6: Final answer
    x = 828,698.80

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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.