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Finding the Third Proportional to 291,586.50 and 456,424.88

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Solution

The third proportional to 291,586.50 and 456,424.88 is: 714,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,586.50 : 456,424.88 = 456,424.88 : x
  2. Step 2: Convert to fraction form
    291,586.50/456,424.88 = 456,424.88/x
  3. Step 3: Cross multiply
    291,586.50x = 456,424.88 × 456,424.88
  4. Step 4: Simplify right side
    291,586.50x = 208,323,666,518.77
  5. Step 5: Solve for x
    x = 208,323,666,518.77/291,586.50
  6. Step 6: Final answer
    x = 714,448.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.