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Finding the Third Proportional to 402,492.50 and 838,056

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Solution

The third proportional to 402,492.50 and 838,056 is: 1,744,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,492.50 : 838,056 = 838,056 : x
  2. Step 2: Convert to fraction form
    402,492.50/838,056 = 838,056/x
  3. Step 3: Cross multiply
    402,492.50x = 838,056 × 838,056
  4. Step 4: Simplify right side
    402,492.50x = 702,337,859,136
  5. Step 5: Solve for x
    x = 702,337,859,136/402,492.50
  6. Step 6: Final answer
    x = 1,744,971.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.