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Finding the Third Proportional to 375,898 and 549,735

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Solution

The third proportional to 375,898 and 549,735 is: 803,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,898 : 549,735 = 549,735 : x
  2. Step 2: Convert to fraction form
    375,898/549,735 = 549,735/x
  3. Step 3: Cross multiply
    375,898x = 549,735 × 549,735
  4. Step 4: Simplify right side
    375,898x = 302,208,570,225
  5. Step 5: Solve for x
    x = 302,208,570,225/375,898
  6. Step 6: Final answer
    x = 803,964.29

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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.