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Finding the Third Proportional to 369,457 and 594,985.50

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Solution

The third proportional to 369,457 and 594,985.50 is: 958,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,457 : 594,985.50 = 594,985.50 : x
  2. Step 2: Convert to fraction form
    369,457/594,985.50 = 594,985.50/x
  3. Step 3: Cross multiply
    369,457x = 594,985.50 × 594,985.50
  4. Step 4: Simplify right side
    369,457x = 354,007,745,210.25
  5. Step 5: Solve for x
    x = 354,007,745,210.25/369,457
  6. Step 6: Final answer
    x = 958,183.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.