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Finding the Third Proportional to 405,952.59 and 567,545.91

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Solution

The third proportional to 405,952.59 and 567,545.91 is: 793,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,952.59 : 567,545.91 = 567,545.91 : x
  2. Step 2: Convert to fraction form
    405,952.59/567,545.91 = 567,545.91/x
  3. Step 3: Cross multiply
    405,952.59x = 567,545.91 × 567,545.91
  4. Step 4: Simplify right side
    405,952.59x = 322,108,355,701.13
  5. Step 5: Solve for x
    x = 322,108,355,701.13/405,952.59
  6. Step 6: Final answer
    x = 793,462.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.