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Finding the Third Proportional to 297,918 and 702,681.75

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Solution

The third proportional to 297,918 and 702,681.75 is: 1,657,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,918 : 702,681.75 = 702,681.75 : x
  2. Step 2: Convert to fraction form
    297,918/702,681.75 = 702,681.75/x
  3. Step 3: Cross multiply
    297,918x = 702,681.75 × 702,681.75
  4. Step 4: Simplify right side
    297,918x = 493,761,641,783.06
  5. Step 5: Solve for x
    x = 493,761,641,783.06/297,918
  6. Step 6: Final answer
    x = 1,657,374.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.