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Finding the Third Proportional to 496,828.69 and 787,973.06

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Solution

The third proportional to 496,828.69 and 787,973.06 is: 1,249,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,828.69 : 787,973.06 = 787,973.06 : x
  2. Step 2: Convert to fraction form
    496,828.69/787,973.06 = 787,973.06/x
  3. Step 3: Cross multiply
    496,828.69x = 787,973.06 × 787,973.06
  4. Step 4: Simplify right side
    496,828.69x = 620,901,547,225.63
  5. Step 5: Solve for x
    x = 620,901,547,225.63/496,828.69
  6. Step 6: Final answer
    x = 1,249,729.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.