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Finding the Third Proportional to 298,242 and 653,184

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Solution

The third proportional to 298,242 and 653,184 is: 1,430,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,242 : 653,184 = 653,184 : x
  2. Step 2: Convert to fraction form
    298,242/653,184 = 653,184/x
  3. Step 3: Cross multiply
    298,242x = 653,184 × 653,184
  4. Step 4: Simplify right side
    298,242x = 426,649,337,856
  5. Step 5: Solve for x
    x = 426,649,337,856/298,242
  6. Step 6: Final answer
    x = 1,430,547.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.