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Finding the Third Proportional to 233,779 and 507,410

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Solution

The third proportional to 233,779 and 507,410 is: 1,101,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,779 : 507,410 = 507,410 : x
  2. Step 2: Convert to fraction form
    233,779/507,410 = 507,410/x
  3. Step 3: Cross multiply
    233,779x = 507,410 × 507,410
  4. Step 4: Simplify right side
    233,779x = 257,464,908,100
  5. Step 5: Solve for x
    x = 257,464,908,100/233,779
  6. Step 6: Final answer
    x = 1,101,317.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.