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Finding the Third Proportional to 469,869 and 711,363

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Solution

The third proportional to 469,869 and 711,363 is: 1,076,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,869 : 711,363 = 711,363 : x
  2. Step 2: Convert to fraction form
    469,869/711,363 = 711,363/x
  3. Step 3: Cross multiply
    469,869x = 711,363 × 711,363
  4. Step 4: Simplify right side
    469,869x = 506,037,317,769
  5. Step 5: Solve for x
    x = 506,037,317,769/469,869
  6. Step 6: Final answer
    x = 1,076,975.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.