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Finding the Third Proportional to 254,528 and 575,056

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Solution

The third proportional to 254,528 and 575,056 is: 1,299,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,528 : 575,056 = 575,056 : x
  2. Step 2: Convert to fraction form
    254,528/575,056 = 575,056/x
  3. Step 3: Cross multiply
    254,528x = 575,056 × 575,056
  4. Step 4: Simplify right side
    254,528x = 330,689,403,136
  5. Step 5: Solve for x
    x = 330,689,403,136/254,528
  6. Step 6: Final answer
    x = 1,299,226.03

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.