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Finding the Third Proportional to 570,267 and 837,175.50

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Solution

The third proportional to 570,267 and 837,175.50 is: 1,229,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,267 : 837,175.50 = 837,175.50 : x
  2. Step 2: Convert to fraction form
    570,267/837,175.50 = 837,175.50/x
  3. Step 3: Cross multiply
    570,267x = 837,175.50 × 837,175.50
  4. Step 4: Simplify right side
    570,267x = 700,862,817,800.25
  5. Step 5: Solve for x
    x = 700,862,817,800.25/570,267
  6. Step 6: Final answer
    x = 1,229,008.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.