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Finding the Third Proportional to 495,561 and 787,648.50

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Solution

The third proportional to 495,561 and 787,648.50 is: 1,251,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,561 : 787,648.50 = 787,648.50 : x
  2. Step 2: Convert to fraction form
    495,561/787,648.50 = 787,648.50/x
  3. Step 3: Cross multiply
    495,561x = 787,648.50 × 787,648.50
  4. Step 4: Simplify right side
    495,561x = 620,390,159,552.25
  5. Step 5: Solve for x
    x = 620,390,159,552.25/495,561
  6. Step 6: Final answer
    x = 1,251,894.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.