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Finding the Third Proportional to 310,154 and 671,833

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Solution

The third proportional to 310,154 and 671,833 is: 1,455,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,154 : 671,833 = 671,833 : x
  2. Step 2: Convert to fraction form
    310,154/671,833 = 671,833/x
  3. Step 3: Cross multiply
    310,154x = 671,833 × 671,833
  4. Step 4: Simplify right side
    310,154x = 451,359,579,889
  5. Step 5: Solve for x
    x = 451,359,579,889/310,154
  6. Step 6: Final answer
    x = 1,455,275.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.