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Finding the Third Proportional to 423,024 and 655,335

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Solution

The third proportional to 423,024 and 655,335 is: 1,015,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,024 : 655,335 = 655,335 : x
  2. Step 2: Convert to fraction form
    423,024/655,335 = 655,335/x
  3. Step 3: Cross multiply
    423,024x = 655,335 × 655,335
  4. Step 4: Simplify right side
    423,024x = 429,463,962,225
  5. Step 5: Solve for x
    x = 429,463,962,225/423,024
  6. Step 6: Final answer
    x = 1,015,223.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.