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Finding the Third Proportional to 570,852 and 888,960

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Solution

The third proportional to 570,852 and 888,960 is: 1,384,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,852 : 888,960 = 888,960 : x
  2. Step 2: Convert to fraction form
    570,852/888,960 = 888,960/x
  3. Step 3: Cross multiply
    570,852x = 888,960 × 888,960
  4. Step 4: Simplify right side
    570,852x = 790,249,881,600
  5. Step 5: Solve for x
    x = 790,249,881,600/570,852
  6. Step 6: Final answer
    x = 1,384,334.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.