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Finding the Third Proportional to 570,735 and 856,852.50

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Solution

The third proportional to 570,735 and 856,852.50 is: 1,286,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,735 : 856,852.50 = 856,852.50 : x
  2. Step 2: Convert to fraction form
    570,735/856,852.50 = 856,852.50/x
  3. Step 3: Cross multiply
    570,735x = 856,852.50 × 856,852.50
  4. Step 4: Simplify right side
    570,735x = 734,196,206,756.25
  5. Step 5: Solve for x
    x = 734,196,206,756.25/570,735
  6. Step 6: Final answer
    x = 1,286,404.74

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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.