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Finding the Third Proportional to 417,485 and 930,590

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Solution

The third proportional to 417,485 and 930,590 is: 2,074,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,485 : 930,590 = 930,590 : x
  2. Step 2: Convert to fraction form
    417,485/930,590 = 930,590/x
  3. Step 3: Cross multiply
    417,485x = 930,590 × 930,590
  4. Step 4: Simplify right side
    417,485x = 865,997,748,100
  5. Step 5: Solve for x
    x = 865,997,748,100/417,485
  6. Step 6: Final answer
    x = 2,074,320.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.