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Finding the Third Proportional to 464,537.50 and 710,692.50

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Solution

The third proportional to 464,537.50 and 710,692.50 is: 1,087,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,537.50 : 710,692.50 = 710,692.50 : x
  2. Step 2: Convert to fraction form
    464,537.50/710,692.50 = 710,692.50/x
  3. Step 3: Cross multiply
    464,537.50x = 710,692.50 × 710,692.50
  4. Step 4: Simplify right side
    464,537.50x = 505,083,829,556.25
  5. Step 5: Solve for x
    x = 505,083,829,556.25/464,537.50
  6. Step 6: Final answer
    x = 1,087,283.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.