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Finding the Third Proportional to 346,110 and 506,024

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Solution

The third proportional to 346,110 and 506,024 is: 739,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,110 : 506,024 = 506,024 : x
  2. Step 2: Convert to fraction form
    346,110/506,024 = 506,024/x
  3. Step 3: Cross multiply
    346,110x = 506,024 × 506,024
  4. Step 4: Simplify right side
    346,110x = 256,060,288,576
  5. Step 5: Solve for x
    x = 256,060,288,576/346,110
  6. Step 6: Final answer
    x = 739,823.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.