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Finding the Third Proportional to 346,998.94 and 803,255.91

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Solution

The third proportional to 346,998.94 and 803,255.91 is: 1,859,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,998.94 : 803,255.91 = 803,255.91 : x
  2. Step 2: Convert to fraction form
    346,998.94/803,255.91 = 803,255.91/x
  3. Step 3: Cross multiply
    346,998.94x = 803,255.91 × 803,255.91
  4. Step 4: Simplify right side
    346,998.94x = 645,220,050,925.51
  5. Step 5: Solve for x
    x = 645,220,050,925.51/346,998.94
  6. Step 6: Final answer
    x = 1,859,429.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.