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Finding the Third Proportional to 299,692.50 and 637,527

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Solution

The third proportional to 299,692.50 and 637,527 is: 1,356,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,692.50 : 637,527 = 637,527 : x
  2. Step 2: Convert to fraction form
    299,692.50/637,527 = 637,527/x
  3. Step 3: Cross multiply
    299,692.50x = 637,527 × 637,527
  4. Step 4: Simplify right side
    299,692.50x = 406,440,675,729
  5. Step 5: Solve for x
    x = 406,440,675,729/299,692.50
  6. Step 6: Final answer
    x = 1,356,192.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.