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Finding the Third Proportional to 554,769 and 604,705.50

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Solution

The third proportional to 554,769 and 604,705.50 is: 659,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,769 : 604,705.50 = 604,705.50 : x
  2. Step 2: Convert to fraction form
    554,769/604,705.50 = 604,705.50/x
  3. Step 3: Cross multiply
    554,769x = 604,705.50 × 604,705.50
  4. Step 4: Simplify right side
    554,769x = 365,668,741,730.25
  5. Step 5: Solve for x
    x = 365,668,741,730.25/554,769
  6. Step 6: Final answer
    x = 659,136.94

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.