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Finding the Third Proportional to 405,508 and 592,854

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Solution

The third proportional to 405,508 and 592,854 is: 866,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,508 : 592,854 = 592,854 : x
  2. Step 2: Convert to fraction form
    405,508/592,854 = 592,854/x
  3. Step 3: Cross multiply
    405,508x = 592,854 × 592,854
  4. Step 4: Simplify right side
    405,508x = 351,475,865,316
  5. Step 5: Solve for x
    x = 351,475,865,316/405,508
  6. Step 6: Final answer
    x = 866,754.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.