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Finding the Third Proportional to 488,370 and 1,055,695.50

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Solution

The third proportional to 488,370 and 1,055,695.50 is: 2,282,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,370 : 1,055,695.50 = 1,055,695.50 : x
  2. Step 2: Convert to fraction form
    488,370/1,055,695.50 = 1,055,695.50/x
  3. Step 3: Cross multiply
    488,370x = 1,055,695.50 × 1,055,695.50
  4. Step 4: Simplify right side
    488,370x = 1,114,492,988,720.25
  5. Step 5: Solve for x
    x = 1,114,492,988,720.25/488,370
  6. Step 6: Final answer
    x = 2,282,066.85

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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.