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Finding the Third Proportional to 581,576 and 875,276

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Solution

The third proportional to 581,576 and 875,276 is: 1,317,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,576 : 875,276 = 875,276 : x
  2. Step 2: Convert to fraction form
    581,576/875,276 = 875,276/x
  3. Step 3: Cross multiply
    581,576x = 875,276 × 875,276
  4. Step 4: Simplify right side
    581,576x = 766,108,076,176
  5. Step 5: Solve for x
    x = 766,108,076,176/581,576
  6. Step 6: Final answer
    x = 1,317,296.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.