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Finding the Third Proportional to 345,052 and 750,854

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Solution

The third proportional to 345,052 and 750,854 is: 1,633,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,052 : 750,854 = 750,854 : x
  2. Step 2: Convert to fraction form
    345,052/750,854 = 750,854/x
  3. Step 3: Cross multiply
    345,052x = 750,854 × 750,854
  4. Step 4: Simplify right side
    345,052x = 563,781,729,316
  5. Step 5: Solve for x
    x = 563,781,729,316/345,052
  6. Step 6: Final answer
    x = 1,633,903.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.