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Finding the Third Proportional to 405,506 and 592,851

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Solution

The third proportional to 405,506 and 592,851 is: 866,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,506 : 592,851 = 592,851 : x
  2. Step 2: Convert to fraction form
    405,506/592,851 = 592,851/x
  3. Step 3: Cross multiply
    405,506x = 592,851 × 592,851
  4. Step 4: Simplify right side
    405,506x = 351,472,308,201
  5. Step 5: Solve for x
    x = 351,472,308,201/405,506
  6. Step 6: Final answer
    x = 866,749.96

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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.