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Finding the Third Proportional to 472,771 and 709,488.50

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Solution

The third proportional to 472,771 and 709,488.50 is: 1,064,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,771 : 709,488.50 = 709,488.50 : x
  2. Step 2: Convert to fraction form
    472,771/709,488.50 = 709,488.50/x
  3. Step 3: Cross multiply
    472,771x = 709,488.50 × 709,488.50
  4. Step 4: Simplify right side
    472,771x = 503,373,931,632.25
  5. Step 5: Solve for x
    x = 503,373,931,632.25/472,771
  6. Step 6: Final answer
    x = 1,064,730.98

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