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Finding the Third Proportional to 316,492 and 484,146

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Solution

The third proportional to 316,492 and 484,146 is: 740,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,492 : 484,146 = 484,146 : x
  2. Step 2: Convert to fraction form
    316,492/484,146 = 484,146/x
  3. Step 3: Cross multiply
    316,492x = 484,146 × 484,146
  4. Step 4: Simplify right side
    316,492x = 234,397,349,316
  5. Step 5: Solve for x
    x = 234,397,349,316/316,492
  6. Step 6: Final answer
    x = 740,610.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.