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Finding the Third Proportional to 242,376 and 507,024

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Solution

The third proportional to 242,376 and 507,024 is: 1,060,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,376 : 507,024 = 507,024 : x
  2. Step 2: Convert to fraction form
    242,376/507,024 = 507,024/x
  3. Step 3: Cross multiply
    242,376x = 507,024 × 507,024
  4. Step 4: Simplify right side
    242,376x = 257,073,336,576
  5. Step 5: Solve for x
    x = 257,073,336,576/242,376
  6. Step 6: Final answer
    x = 1,060,638.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.