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Finding the Third Proportional to 306,927 and 473,512.50

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Solution

The third proportional to 306,927 and 473,512.50 is: 730,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,927 : 473,512.50 = 473,512.50 : x
  2. Step 2: Convert to fraction form
    306,927/473,512.50 = 473,512.50/x
  3. Step 3: Cross multiply
    306,927x = 473,512.50 × 473,512.50
  4. Step 4: Simplify right side
    306,927x = 224,214,087,656.25
  5. Step 5: Solve for x
    x = 224,214,087,656.25/306,927
  6. Step 6: Final answer
    x = 730,512.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.