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Finding the Third Proportional to 298,977 and 459,537

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Solution

The third proportional to 298,977 and 459,537 is: 706,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,977 : 459,537 = 459,537 : x
  2. Step 2: Convert to fraction form
    298,977/459,537 = 459,537/x
  3. Step 3: Cross multiply
    298,977x = 459,537 × 459,537
  4. Step 4: Simplify right side
    298,977x = 211,174,254,369
  5. Step 5: Solve for x
    x = 211,174,254,369/298,977
  6. Step 6: Final answer
    x = 706,322.74

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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.