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Finding the Third Proportional to 554,998.50 and 830,270

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Solution

The third proportional to 554,998.50 and 830,270 is: 1,242,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,998.50 : 830,270 = 830,270 : x
  2. Step 2: Convert to fraction form
    554,998.50/830,270 = 830,270/x
  3. Step 3: Cross multiply
    554,998.50x = 830,270 × 830,270
  4. Step 4: Simplify right side
    554,998.50x = 689,348,272,900
  5. Step 5: Solve for x
    x = 689,348,272,900/554,998.50
  6. Step 6: Final answer
    x = 1,242,072.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.