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Finding the Third Proportional to 345,259.50 and 738,492

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Solution

The third proportional to 345,259.50 and 738,492 is: 1,579,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,259.50 : 738,492 = 738,492 : x
  2. Step 2: Convert to fraction form
    345,259.50/738,492 = 738,492/x
  3. Step 3: Cross multiply
    345,259.50x = 738,492 × 738,492
  4. Step 4: Simplify right side
    345,259.50x = 545,370,434,064
  5. Step 5: Solve for x
    x = 545,370,434,064/345,259.50
  6. Step 6: Final answer
    x = 1,579,595.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.