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Finding the Third Proportional to 246,426 and 360,854

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Solution

The third proportional to 246,426 and 360,854 is: 528,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,426 : 360,854 = 360,854 : x
  2. Step 2: Convert to fraction form
    246,426/360,854 = 360,854/x
  3. Step 3: Cross multiply
    246,426x = 360,854 × 360,854
  4. Step 4: Simplify right side
    246,426x = 130,215,609,316
  5. Step 5: Solve for x
    x = 130,215,609,316/246,426
  6. Step 6: Final answer
    x = 528,416.68

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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.