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Finding the Third Proportional to 296,319 and 470,724

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Solution

The third proportional to 296,319 and 470,724 is: 747,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,319 : 470,724 = 470,724 : x
  2. Step 2: Convert to fraction form
    296,319/470,724 = 470,724/x
  3. Step 3: Cross multiply
    296,319x = 470,724 × 470,724
  4. Step 4: Simplify right side
    296,319x = 221,581,084,176
  5. Step 5: Solve for x
    x = 221,581,084,176/296,319
  6. Step 6: Final answer
    x = 747,778.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.