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Finding the Third Proportional to 554,905.69 and 706,811.06

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Solution

The third proportional to 554,905.69 and 706,811.06 is: 900,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,905.69 : 706,811.06 = 706,811.06 : x
  2. Step 2: Convert to fraction form
    554,905.69/706,811.06 = 706,811.06/x
  3. Step 3: Cross multiply
    554,905.69x = 706,811.06 × 706,811.06
  4. Step 4: Simplify right side
    554,905.69x = 499,581,878,072.38
  5. Step 5: Solve for x
    x = 499,581,878,072.38/554,905.69
  6. Step 6: Final answer
    x = 900,300.52

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.