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Finding the Third Proportional to 476,069 and 652,801.50

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Solution

The third proportional to 476,069 and 652,801.50 is: 895,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,069 : 652,801.50 = 652,801.50 : x
  2. Step 2: Convert to fraction form
    476,069/652,801.50 = 652,801.50/x
  3. Step 3: Cross multiply
    476,069x = 652,801.50 × 652,801.50
  4. Step 4: Simplify right side
    476,069x = 426,149,798,402.25
  5. Step 5: Solve for x
    x = 426,149,798,402.25/476,069
  6. Step 6: Final answer
    x = 895,142.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.