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Finding the Third Proportional to 384,421.50 and 841,257

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Solution

The third proportional to 384,421.50 and 841,257 is: 1,840,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,421.50 : 841,257 = 841,257 : x
  2. Step 2: Convert to fraction form
    384,421.50/841,257 = 841,257/x
  3. Step 3: Cross multiply
    384,421.50x = 841,257 × 841,257
  4. Step 4: Simplify right side
    384,421.50x = 707,713,340,049
  5. Step 5: Solve for x
    x = 707,713,340,049/384,421.50
  6. Step 6: Final answer
    x = 1,840,982.72

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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.