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Finding the Third Proportional to 507,044 and 758,986

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Solution

The third proportional to 507,044 and 758,986 is: 1,136,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,044 : 758,986 = 758,986 : x
  2. Step 2: Convert to fraction form
    507,044/758,986 = 758,986/x
  3. Step 3: Cross multiply
    507,044x = 758,986 × 758,986
  4. Step 4: Simplify right side
    507,044x = 576,059,748,196
  5. Step 5: Solve for x
    x = 576,059,748,196/507,044
  6. Step 6: Final answer
    x = 1,136,113.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.