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Finding the Third Proportional to 570,336 and 834,768

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Solution

The third proportional to 570,336 and 834,768 is: 1,221,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,336 : 834,768 = 834,768 : x
  2. Step 2: Convert to fraction form
    570,336/834,768 = 834,768/x
  3. Step 3: Cross multiply
    570,336x = 834,768 × 834,768
  4. Step 4: Simplify right side
    570,336x = 696,837,613,824
  5. Step 5: Solve for x
    x = 696,837,613,824/570,336
  6. Step 6: Final answer
    x = 1,221,801.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.