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Finding the Third Proportional to 364,723 and 586,005.50

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Solution

The third proportional to 364,723 and 586,005.50 is: 941,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,723 : 586,005.50 = 586,005.50 : x
  2. Step 2: Convert to fraction form
    364,723/586,005.50 = 586,005.50/x
  3. Step 3: Cross multiply
    364,723x = 586,005.50 × 586,005.50
  4. Step 4: Simplify right side
    364,723x = 343,402,446,030.25
  5. Step 5: Solve for x
    x = 343,402,446,030.25/364,723
  6. Step 6: Final answer
    x = 941,543.16

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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.