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Finding the Third Proportional to 384,484 and 841,376

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Solution

The third proportional to 384,484 and 841,376 is: 1,841,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,484 : 841,376 = 841,376 : x
  2. Step 2: Convert to fraction form
    384,484/841,376 = 841,376/x
  3. Step 3: Cross multiply
    384,484x = 841,376 × 841,376
  4. Step 4: Simplify right side
    384,484x = 707,913,573,376
  5. Step 5: Solve for x
    x = 707,913,573,376/384,484
  6. Step 6: Final answer
    x = 1,841,204.25

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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.