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Finding the Third Proportional to 400,581 and 623,848.50

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Solution

The third proportional to 400,581 and 623,848.50 is: 971,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,581 : 623,848.50 = 623,848.50 : x
  2. Step 2: Convert to fraction form
    400,581/623,848.50 = 623,848.50/x
  3. Step 3: Cross multiply
    400,581x = 623,848.50 × 623,848.50
  4. Step 4: Simplify right side
    400,581x = 389,186,950,952.25
  5. Step 5: Solve for x
    x = 389,186,950,952.25/400,581
  6. Step 6: Final answer
    x = 971,556.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.