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Finding the Third Proportional to 650,232 and 956,502

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Solution

The third proportional to 650,232 and 956,502 is: 1,407,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,232 : 956,502 = 956,502 : x
  2. Step 2: Convert to fraction form
    650,232/956,502 = 956,502/x
  3. Step 3: Cross multiply
    650,232x = 956,502 × 956,502
  4. Step 4: Simplify right side
    650,232x = 914,896,076,004
  5. Step 5: Solve for x
    x = 914,896,076,004/650,232
  6. Step 6: Final answer
    x = 1,407,030.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.