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Finding the Third Proportional to 333,720 and 714,924

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Solution

The third proportional to 333,720 and 714,924 is: 1,531,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,720 : 714,924 = 714,924 : x
  2. Step 2: Convert to fraction form
    333,720/714,924 = 714,924/x
  3. Step 3: Cross multiply
    333,720x = 714,924 × 714,924
  4. Step 4: Simplify right side
    333,720x = 511,116,325,776
  5. Step 5: Solve for x
    x = 511,116,325,776/333,720
  6. Step 6: Final answer
    x = 1,531,572.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.