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Finding the Third Proportional to 417,875 and 902,248

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Solution

The third proportional to 417,875 and 902,248 is: 1,948,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,875 : 902,248 = 902,248 : x
  2. Step 2: Convert to fraction form
    417,875/902,248 = 902,248/x
  3. Step 3: Cross multiply
    417,875x = 902,248 × 902,248
  4. Step 4: Simplify right side
    417,875x = 814,051,453,504
  5. Step 5: Solve for x
    x = 814,051,453,504/417,875
  6. Step 6: Final answer
    x = 1,948,074.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.