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Finding the Third Proportional to 426,847.50 and 570,951

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Solution

The third proportional to 426,847.50 and 570,951 is: 763,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,847.50 : 570,951 = 570,951 : x
  2. Step 2: Convert to fraction form
    426,847.50/570,951 = 570,951/x
  3. Step 3: Cross multiply
    426,847.50x = 570,951 × 570,951
  4. Step 4: Simplify right side
    426,847.50x = 325,985,044,401
  5. Step 5: Solve for x
    x = 325,985,044,401/426,847.50
  6. Step 6: Final answer
    x = 763,703.77

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.