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Finding the Third Proportional to 235,066 and 507,536

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Solution

The third proportional to 235,066 and 507,536 is: 1,095,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,066 : 507,536 = 507,536 : x
  2. Step 2: Convert to fraction form
    235,066/507,536 = 507,536/x
  3. Step 3: Cross multiply
    235,066x = 507,536 × 507,536
  4. Step 4: Simplify right side
    235,066x = 257,592,791,296
  5. Step 5: Solve for x
    x = 257,592,791,296/235,066
  6. Step 6: Final answer
    x = 1,095,831.77

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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.