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Finding the Third Proportional to 407,023 and 598,341

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Solution

The third proportional to 407,023 and 598,341 is: 879,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,023 : 598,341 = 598,341 : x
  2. Step 2: Convert to fraction form
    407,023/598,341 = 598,341/x
  3. Step 3: Cross multiply
    407,023x = 598,341 × 598,341
  4. Step 4: Simplify right side
    407,023x = 358,011,952,281
  5. Step 5: Solve for x
    x = 358,011,952,281/407,023
  6. Step 6: Final answer
    x = 879,586.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.