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Finding the Third Proportional to 374,237 and 586,392

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Solution

The third proportional to 374,237 and 586,392 is: 918,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,237 : 586,392 = 586,392 : x
  2. Step 2: Convert to fraction form
    374,237/586,392 = 586,392/x
  3. Step 3: Cross multiply
    374,237x = 586,392 × 586,392
  4. Step 4: Simplify right side
    374,237x = 343,855,577,664
  5. Step 5: Solve for x
    x = 343,855,577,664/374,237
  6. Step 6: Final answer
    x = 918,817.69

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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.