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Finding the Third Proportional to 495,072 and 743,701.50

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Solution

The third proportional to 495,072 and 743,701.50 is: 1,117,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,072 : 743,701.50 = 743,701.50 : x
  2. Step 2: Convert to fraction form
    495,072/743,701.50 = 743,701.50/x
  3. Step 3: Cross multiply
    495,072x = 743,701.50 × 743,701.50
  4. Step 4: Simplify right side
    495,072x = 553,091,921,102.25
  5. Step 5: Solve for x
    x = 553,091,921,102.25/495,072
  6. Step 6: Final answer
    x = 1,117,194.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.