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Finding the Third Proportional to 328,980 and 717,454

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Solution

The third proportional to 328,980 and 717,454 is: 1,564,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,980 : 717,454 = 717,454 : x
  2. Step 2: Convert to fraction form
    328,980/717,454 = 717,454/x
  3. Step 3: Cross multiply
    328,980x = 717,454 × 717,454
  4. Step 4: Simplify right side
    328,980x = 514,740,242,116
  5. Step 5: Solve for x
    x = 514,740,242,116/328,980
  6. Step 6: Final answer
    x = 1,564,655.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.