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Finding the Third Proportional to 255,023 and 393,507

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Solution

The third proportional to 255,023 and 393,507 is: 607,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,023 : 393,507 = 393,507 : x
  2. Step 2: Convert to fraction form
    255,023/393,507 = 393,507/x
  3. Step 3: Cross multiply
    255,023x = 393,507 × 393,507
  4. Step 4: Simplify right side
    255,023x = 154,847,759,049
  5. Step 5: Solve for x
    x = 154,847,759,049/255,023
  6. Step 6: Final answer
    x = 607,191.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.