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Finding the Third Proportional to 242,574 and 497,148

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Solution

The third proportional to 242,574 and 497,148 is: 1,018,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,574 : 497,148 = 497,148 : x
  2. Step 2: Convert to fraction form
    242,574/497,148 = 497,148/x
  3. Step 3: Cross multiply
    242,574x = 497,148 × 497,148
  4. Step 4: Simplify right side
    242,574x = 247,156,133,904
  5. Step 5: Solve for x
    x = 247,156,133,904/242,574
  6. Step 6: Final answer
    x = 1,018,889.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.