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Finding the Third Proportional to 304,904.63 and 446,421.94

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Solution

The third proportional to 304,904.63 and 446,421.94 is: 653,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,904.63 : 446,421.94 = 446,421.94 : x
  2. Step 2: Convert to fraction form
    304,904.63/446,421.94 = 446,421.94/x
  3. Step 3: Cross multiply
    304,904.63x = 446,421.94 × 446,421.94
  4. Step 4: Simplify right side
    304,904.63x = 199,292,546,281.25
  5. Step 5: Solve for x
    x = 199,292,546,281.25/304,904.63
  6. Step 6: Final answer
    x = 653,622.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.