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Finding the Third Proportional to 523,930.50 and 788,490

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Solution

The third proportional to 523,930.50 and 788,490 is: 1,186,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,930.50 : 788,490 = 788,490 : x
  2. Step 2: Convert to fraction form
    523,930.50/788,490 = 788,490/x
  3. Step 3: Cross multiply
    523,930.50x = 788,490 × 788,490
  4. Step 4: Simplify right side
    523,930.50x = 621,716,480,100
  5. Step 5: Solve for x
    x = 621,716,480,100/523,930.50
  6. Step 6: Final answer
    x = 1,186,639.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.