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Finding the Third Proportional to 344,335 and 743,998

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Solution

The third proportional to 344,335 and 743,998 is: 1,607,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,335 : 743,998 = 743,998 : x
  2. Step 2: Convert to fraction form
    344,335/743,998 = 743,998/x
  3. Step 3: Cross multiply
    344,335x = 743,998 × 743,998
  4. Step 4: Simplify right side
    344,335x = 553,533,024,004
  5. Step 5: Solve for x
    x = 553,533,024,004/344,335
  6. Step 6: Final answer
    x = 1,607,542.14

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Why These Related Problems?

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