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Finding the Third Proportional to 324,076 and 507,222

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Solution

The third proportional to 324,076 and 507,222 is: 793,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,076 : 507,222 = 507,222 : x
  2. Step 2: Convert to fraction form
    324,076/507,222 = 507,222/x
  3. Step 3: Cross multiply
    324,076x = 507,222 × 507,222
  4. Step 4: Simplify right side
    324,076x = 257,274,157,284
  5. Step 5: Solve for x
    x = 257,274,157,284/324,076
  6. Step 6: Final answer
    x = 793,869.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.