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Finding the Third Proportional to 345,951 and 750,942

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Solution

The third proportional to 345,951 and 750,942 is: 1,630,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,951 : 750,942 = 750,942 : x
  2. Step 2: Convert to fraction form
    345,951/750,942 = 750,942/x
  3. Step 3: Cross multiply
    345,951x = 750,942 × 750,942
  4. Step 4: Simplify right side
    345,951x = 563,913,887,364
  5. Step 5: Solve for x
    x = 563,913,887,364/345,951
  6. Step 6: Final answer
    x = 1,630,039.77

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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.