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Finding the Third Proportional to 425,792 and 592,024

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Solution

The third proportional to 425,792 and 592,024 is: 823,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,792 : 592,024 = 592,024 : x
  2. Step 2: Convert to fraction form
    425,792/592,024 = 592,024/x
  3. Step 3: Cross multiply
    425,792x = 592,024 × 592,024
  4. Step 4: Simplify right side
    425,792x = 350,492,416,576
  5. Step 5: Solve for x
    x = 350,492,416,576/425,792
  6. Step 6: Final answer
    x = 823,154.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.