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Finding the Third Proportional to 335,140 and 730,492

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Solution

The third proportional to 335,140 and 730,492 is: 1,592,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,140 : 730,492 = 730,492 : x
  2. Step 2: Convert to fraction form
    335,140/730,492 = 730,492/x
  3. Step 3: Cross multiply
    335,140x = 730,492 × 730,492
  4. Step 4: Simplify right side
    335,140x = 533,618,562,064
  5. Step 5: Solve for x
    x = 533,618,562,064/335,140
  6. Step 6: Final answer
    x = 1,592,225.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.