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Finding the Third Proportional to 306,924 and 670,776

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Solution

The third proportional to 306,924 and 670,776 is: 1,465,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,924 : 670,776 = 670,776 : x
  2. Step 2: Convert to fraction form
    306,924/670,776 = 670,776/x
  3. Step 3: Cross multiply
    306,924x = 670,776 × 670,776
  4. Step 4: Simplify right side
    306,924x = 449,940,442,176
  5. Step 5: Solve for x
    x = 449,940,442,176/306,924
  6. Step 6: Final answer
    x = 1,465,966.96

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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.