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Finding the Third Proportional to 302,547 and 401,332.50

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Solution

The third proportional to 302,547 and 401,332.50 is: 532,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,547 : 401,332.50 = 401,332.50 : x
  2. Step 2: Convert to fraction form
    302,547/401,332.50 = 401,332.50/x
  3. Step 3: Cross multiply
    302,547x = 401,332.50 × 401,332.50
  4. Step 4: Simplify right side
    302,547x = 161,067,775,556.25
  5. Step 5: Solve for x
    x = 161,067,775,556.25/302,547
  6. Step 6: Final answer
    x = 532,372.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.