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Finding the Third Proportional to 333,886 and 731,438

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Solution

The third proportional to 333,886 and 731,438 is: 1,602,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,886 : 731,438 = 731,438 : x
  2. Step 2: Convert to fraction form
    333,886/731,438 = 731,438/x
  3. Step 3: Cross multiply
    333,886x = 731,438 × 731,438
  4. Step 4: Simplify right side
    333,886x = 535,001,547,844
  5. Step 5: Solve for x
    x = 535,001,547,844/333,886
  6. Step 6: Final answer
    x = 1,602,347.95

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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.