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Finding the Third Proportional to 344,196 and 745,585

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Solution

The third proportional to 344,196 and 745,585 is: 1,615,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,196 : 745,585 = 745,585 : x
  2. Step 2: Convert to fraction form
    344,196/745,585 = 745,585/x
  3. Step 3: Cross multiply
    344,196x = 745,585 × 745,585
  4. Step 4: Simplify right side
    344,196x = 555,896,992,225
  5. Step 5: Solve for x
    x = 555,896,992,225/344,196
  6. Step 6: Final answer
    x = 1,615,059.42

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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.