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Finding the Third Proportional to 345,643 and 718,877

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Solution

The third proportional to 345,643 and 718,877 is: 1,495,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,643 : 718,877 = 718,877 : x
  2. Step 2: Convert to fraction form
    345,643/718,877 = 718,877/x
  3. Step 3: Cross multiply
    345,643x = 718,877 × 718,877
  4. Step 4: Simplify right side
    345,643x = 516,784,141,129
  5. Step 5: Solve for x
    x = 516,784,141,129/345,643
  6. Step 6: Final answer
    x = 1,495,138.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.