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Finding the Third Proportional to 245,430 and 377,114

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Solution

The third proportional to 245,430 and 377,114 is: 579,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,430 : 377,114 = 377,114 : x
  2. Step 2: Convert to fraction form
    245,430/377,114 = 377,114/x
  3. Step 3: Cross multiply
    245,430x = 377,114 × 377,114
  4. Step 4: Simplify right side
    245,430x = 142,214,968,996
  5. Step 5: Solve for x
    x = 142,214,968,996/245,430
  6. Step 6: Final answer
    x = 579,452.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.