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Finding the Third Proportional to 315,085 and 484,308.50

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Solution

The third proportional to 315,085 and 484,308.50 is: 744,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,085 : 484,308.50 = 484,308.50 : x
  2. Step 2: Convert to fraction form
    315,085/484,308.50 = 484,308.50/x
  3. Step 3: Cross multiply
    315,085x = 484,308.50 × 484,308.50
  4. Step 4: Simplify right side
    315,085x = 234,554,723,172.25
  5. Step 5: Solve for x
    x = 234,554,723,172.25/315,085
  6. Step 6: Final answer
    x = 744,417.29

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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.