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Finding the Third Proportional to 337,155 and 722,289

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Solution

The third proportional to 337,155 and 722,289 is: 1,547,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,155 : 722,289 = 722,289 : x
  2. Step 2: Convert to fraction form
    337,155/722,289 = 722,289/x
  3. Step 3: Cross multiply
    337,155x = 722,289 × 722,289
  4. Step 4: Simplify right side
    337,155x = 521,701,399,521
  5. Step 5: Solve for x
    x = 521,701,399,521/337,155
  6. Step 6: Final answer
    x = 1,547,363.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.