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Finding the Third Proportional to 656,370 and 983,461.50

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Solution

The third proportional to 656,370 and 983,461.50 is: 1,473,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,370 : 983,461.50 = 983,461.50 : x
  2. Step 2: Convert to fraction form
    656,370/983,461.50 = 983,461.50/x
  3. Step 3: Cross multiply
    656,370x = 983,461.50 × 983,461.50
  4. Step 4: Simplify right side
    656,370x = 967,196,521,982.25
  5. Step 5: Solve for x
    x = 967,196,521,982.25/656,370
  6. Step 6: Final answer
    x = 1,473,553.82

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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.