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Finding the Third Proportional to 405,688.50 and 877,807.13

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Solution

The third proportional to 405,688.50 and 877,807.13 is: 1,899,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,688.50 : 877,807.13 = 877,807.13 : x
  2. Step 2: Convert to fraction form
    405,688.50/877,807.13 = 877,807.13/x
  3. Step 3: Cross multiply
    405,688.50x = 877,807.13 × 877,807.13
  4. Step 4: Simplify right side
    405,688.50x = 770,545,348,700.77
  5. Step 5: Solve for x
    x = 770,545,348,700.77/405,688.50
  6. Step 6: Final answer
    x = 1,899,352.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.