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Finding the Third Proportional to 235,127 and 507,424

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Solution

The third proportional to 235,127 and 507,424 is: 1,095,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,127 : 507,424 = 507,424 : x
  2. Step 2: Convert to fraction form
    235,127/507,424 = 507,424/x
  3. Step 3: Cross multiply
    235,127x = 507,424 × 507,424
  4. Step 4: Simplify right side
    235,127x = 257,479,115,776
  5. Step 5: Solve for x
    x = 257,479,115,776/235,127
  6. Step 6: Final answer
    x = 1,095,064.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.