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Finding the Third Proportional to 375,896 and 549,732

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Solution

The third proportional to 375,896 and 549,732 is: 803,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,896 : 549,732 = 549,732 : x
  2. Step 2: Convert to fraction form
    375,896/549,732 = 549,732/x
  3. Step 3: Cross multiply
    375,896x = 549,732 × 549,732
  4. Step 4: Simplify right side
    375,896x = 302,205,271,824
  5. Step 5: Solve for x
    x = 302,205,271,824/375,896
  6. Step 6: Final answer
    x = 803,959.80

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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.