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Finding the Third Proportional to 307,017 and 473,647.50

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Solution

The third proportional to 307,017 and 473,647.50 is: 730,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,017 : 473,647.50 = 473,647.50 : x
  2. Step 2: Convert to fraction form
    307,017/473,647.50 = 473,647.50/x
  3. Step 3: Cross multiply
    307,017x = 473,647.50 × 473,647.50
  4. Step 4: Simplify right side
    307,017x = 224,341,954,256.25
  5. Step 5: Solve for x
    x = 224,341,954,256.25/307,017
  6. Step 6: Final answer
    x = 730,715.09

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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.