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Finding the Third Proportional to 319,747 and 469,252.50

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Solution

The third proportional to 319,747 and 469,252.50 is: 688,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,747 : 469,252.50 = 469,252.50 : x
  2. Step 2: Convert to fraction form
    319,747/469,252.50 = 469,252.50/x
  3. Step 3: Cross multiply
    319,747x = 469,252.50 × 469,252.50
  4. Step 4: Simplify right side
    319,747x = 220,197,908,756.25
  5. Step 5: Solve for x
    x = 220,197,908,756.25/319,747
  6. Step 6: Final answer
    x = 688,662.94

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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.