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Finding the Third Proportional to 315,899 and 745,730

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Solution

The third proportional to 315,899 and 745,730 is: 1,760,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,899 : 745,730 = 745,730 : x
  2. Step 2: Convert to fraction form
    315,899/745,730 = 745,730/x
  3. Step 3: Cross multiply
    315,899x = 745,730 × 745,730
  4. Step 4: Simplify right side
    315,899x = 556,113,232,900
  5. Step 5: Solve for x
    x = 556,113,232,900/315,899
  6. Step 6: Final answer
    x = 1,760,414.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.