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Finding the Third Proportional to 352,604 and 783,688

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Solution

The third proportional to 352,604 and 783,688 is: 1,741,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,604 : 783,688 = 783,688 : x
  2. Step 2: Convert to fraction form
    352,604/783,688 = 783,688/x
  3. Step 3: Cross multiply
    352,604x = 783,688 × 783,688
  4. Step 4: Simplify right side
    352,604x = 614,166,881,344
  5. Step 5: Solve for x
    x = 614,166,881,344/352,604
  6. Step 6: Final answer
    x = 1,741,803.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.