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Finding the Third Proportional to 306,484.50 and 460,146

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Solution

The third proportional to 306,484.50 and 460,146 is: 690,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,484.50 : 460,146 = 460,146 : x
  2. Step 2: Convert to fraction form
    306,484.50/460,146 = 460,146/x
  3. Step 3: Cross multiply
    306,484.50x = 460,146 × 460,146
  4. Step 4: Simplify right side
    306,484.50x = 211,734,341,316
  5. Step 5: Solve for x
    x = 211,734,341,316/306,484.50
  6. Step 6: Final answer
    x = 690,848.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.