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Finding the Third Proportional to 316,004 and 676,294

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Solution

The third proportional to 316,004 and 676,294 is: 1,447,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,004 : 676,294 = 676,294 : x
  2. Step 2: Convert to fraction form
    316,004/676,294 = 676,294/x
  3. Step 3: Cross multiply
    316,004x = 676,294 × 676,294
  4. Step 4: Simplify right side
    316,004x = 457,373,574,436
  5. Step 5: Solve for x
    x = 457,373,574,436/316,004
  6. Step 6: Final answer
    x = 1,447,366.41

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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.