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Finding the Third Proportional to 355,209 and 761,084

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Solution

The third proportional to 355,209 and 761,084 is: 1,630,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,209 : 761,084 = 761,084 : x
  2. Step 2: Convert to fraction form
    355,209/761,084 = 761,084/x
  3. Step 3: Cross multiply
    355,209x = 761,084 × 761,084
  4. Step 4: Simplify right side
    355,209x = 579,248,855,056
  5. Step 5: Solve for x
    x = 579,248,855,056/355,209
  6. Step 6: Final answer
    x = 1,630,726.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.