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Finding the Third Proportional to 333,882 and 731,430

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Solution

The third proportional to 333,882 and 731,430 is: 1,602,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,882 : 731,430 = 731,430 : x
  2. Step 2: Convert to fraction form
    333,882/731,430 = 731,430/x
  3. Step 3: Cross multiply
    333,882x = 731,430 × 731,430
  4. Step 4: Simplify right side
    333,882x = 534,989,844,900
  5. Step 5: Solve for x
    x = 534,989,844,900/333,882
  6. Step 6: Final answer
    x = 1,602,332.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.