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Finding the Third Proportional to 295,387.50 and 712,156.50

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Solution

The third proportional to 295,387.50 and 712,156.50 is: 1,716,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,387.50 : 712,156.50 = 712,156.50 : x
  2. Step 2: Convert to fraction form
    295,387.50/712,156.50 = 712,156.50/x
  3. Step 3: Cross multiply
    295,387.50x = 712,156.50 × 712,156.50
  4. Step 4: Simplify right side
    295,387.50x = 507,166,880,492.25
  5. Step 5: Solve for x
    x = 507,166,880,492.25/295,387.50
  6. Step 6: Final answer
    x = 1,716,954.44

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.