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Finding the Third Proportional to 333,488 and 719,464

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Solution

The third proportional to 333,488 and 719,464 is: 1,552,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,488 : 719,464 = 719,464 : x
  2. Step 2: Convert to fraction form
    333,488/719,464 = 719,464/x
  3. Step 3: Cross multiply
    333,488x = 719,464 × 719,464
  4. Step 4: Simplify right side
    333,488x = 517,628,447,296
  5. Step 5: Solve for x
    x = 517,628,447,296/333,488
  6. Step 6: Final answer
    x = 1,552,165.14

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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.