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Finding the Third Proportional to 360,784.50 and 777,492

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Solution

The third proportional to 360,784.50 and 777,492 is: 1,675,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,784.50 : 777,492 = 777,492 : x
  2. Step 2: Convert to fraction form
    360,784.50/777,492 = 777,492/x
  3. Step 3: Cross multiply
    360,784.50x = 777,492 × 777,492
  4. Step 4: Simplify right side
    360,784.50x = 604,493,810,064
  5. Step 5: Solve for x
    x = 604,493,810,064/360,784.50
  6. Step 6: Final answer
    x = 1,675,498.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.