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Finding the Third Proportional to 374,234 and 586,388

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Solution

The third proportional to 374,234 and 586,388 is: 918,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,234 : 586,388 = 586,388 : x
  2. Step 2: Convert to fraction form
    374,234/586,388 = 586,388/x
  3. Step 3: Cross multiply
    374,234x = 586,388 × 586,388
  4. Step 4: Simplify right side
    374,234x = 343,850,886,544
  5. Step 5: Solve for x
    x = 343,850,886,544/374,234
  6. Step 6: Final answer
    x = 918,812.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.