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Finding the Third Proportional to 335,442 and 507,491

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Solution

The third proportional to 335,442 and 507,491 is: 767,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,442 : 507,491 = 507,491 : x
  2. Step 2: Convert to fraction form
    335,442/507,491 = 507,491/x
  3. Step 3: Cross multiply
    335,442x = 507,491 × 507,491
  4. Step 4: Simplify right side
    335,442x = 257,547,115,081
  5. Step 5: Solve for x
    x = 257,547,115,081/335,442
  6. Step 6: Final answer
    x = 767,784.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.