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Finding the Third Proportional to 247,964 and 535,284

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Solution

The third proportional to 247,964 and 535,284 is: 1,155,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,964 : 535,284 = 535,284 : x
  2. Step 2: Convert to fraction form
    247,964/535,284 = 535,284/x
  3. Step 3: Cross multiply
    247,964x = 535,284 × 535,284
  4. Step 4: Simplify right side
    247,964x = 286,528,960,656
  5. Step 5: Solve for x
    x = 286,528,960,656/247,964
  6. Step 6: Final answer
    x = 1,155,526.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.