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Finding the Third Proportional to 472,056 and 712,000.50

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Solution

The third proportional to 472,056 and 712,000.50 is: 1,073,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,056 : 712,000.50 = 712,000.50 : x
  2. Step 2: Convert to fraction form
    472,056/712,000.50 = 712,000.50/x
  3. Step 3: Cross multiply
    472,056x = 712,000.50 × 712,000.50
  4. Step 4: Simplify right side
    472,056x = 506,944,712,000.25
  5. Step 5: Solve for x
    x = 506,944,712,000.25/472,056
  6. Step 6: Final answer
    x = 1,073,907.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.