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Finding the Third Proportional to 401,547 and 535,324.50

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Solution

The third proportional to 401,547 and 535,324.50 is: 713,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,547 : 535,324.50 = 535,324.50 : x
  2. Step 2: Convert to fraction form
    401,547/535,324.50 = 535,324.50/x
  3. Step 3: Cross multiply
    401,547x = 535,324.50 × 535,324.50
  4. Step 4: Simplify right side
    401,547x = 286,572,320,300.25
  5. Step 5: Solve for x
    x = 286,572,320,300.25/401,547
  6. Step 6: Final answer
    x = 713,670.68

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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.