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Finding the Third Proportional to 306,045 and 656,374.50

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Solution

The third proportional to 306,045 and 656,374.50 is: 1,407,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,045 : 656,374.50 = 656,374.50 : x
  2. Step 2: Convert to fraction form
    306,045/656,374.50 = 656,374.50/x
  3. Step 3: Cross multiply
    306,045x = 656,374.50 × 656,374.50
  4. Step 4: Simplify right side
    306,045x = 430,827,484,250.25
  5. Step 5: Solve for x
    x = 430,827,484,250.25/306,045
  6. Step 6: Final answer
    x = 1,407,725.94

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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.