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Finding the Third Proportional to 706,320 and 906,907.50

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Solution

The third proportional to 706,320 and 906,907.50 is: 1,164,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,320 : 906,907.50 = 906,907.50 : x
  2. Step 2: Convert to fraction form
    706,320/906,907.50 = 906,907.50/x
  3. Step 3: Cross multiply
    706,320x = 906,907.50 × 906,907.50
  4. Step 4: Simplify right side
    706,320x = 822,481,213,556.25
  5. Step 5: Solve for x
    x = 822,481,213,556.25/706,320
  6. Step 6: Final answer
    x = 1,164,459.75

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.