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Finding the Third Proportional to 405,314 and 592,335

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Solution

The third proportional to 405,314 and 592,335 is: 865,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,314 : 592,335 = 592,335 : x
  2. Step 2: Convert to fraction form
    405,314/592,335 = 592,335/x
  3. Step 3: Cross multiply
    405,314x = 592,335 × 592,335
  4. Step 4: Simplify right side
    405,314x = 350,860,752,225
  5. Step 5: Solve for x
    x = 350,860,752,225/405,314
  6. Step 6: Final answer
    x = 865,651.70

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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.