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Finding the Third Proportional to 390,420 and 530,334

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Solution

The third proportional to 390,420 and 530,334 is: 720,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,420 : 530,334 = 530,334 : x
  2. Step 2: Convert to fraction form
    390,420/530,334 = 530,334/x
  3. Step 3: Cross multiply
    390,420x = 530,334 × 530,334
  4. Step 4: Simplify right side
    390,420x = 281,254,151,556
  5. Step 5: Solve for x
    x = 281,254,151,556/390,420
  6. Step 6: Final answer
    x = 720,388.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.