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Finding the Third Proportional to 456,988.50 and 711,513

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Solution

The third proportional to 456,988.50 and 711,513 is: 1,107,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,988.50 : 711,513 = 711,513 : x
  2. Step 2: Convert to fraction form
    456,988.50/711,513 = 711,513/x
  3. Step 3: Cross multiply
    456,988.50x = 711,513 × 711,513
  4. Step 4: Simplify right side
    456,988.50x = 506,250,749,169
  5. Step 5: Solve for x
    x = 506,250,749,169/456,988.50
  6. Step 6: Final answer
    x = 1,107,797.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.