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Finding the Third Proportional to 249,873 and 528,726

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Solution

The third proportional to 249,873 and 528,726 is: 1,118,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,873 : 528,726 = 528,726 : x
  2. Step 2: Convert to fraction form
    249,873/528,726 = 528,726/x
  3. Step 3: Cross multiply
    249,873x = 528,726 × 528,726
  4. Step 4: Simplify right side
    249,873x = 279,551,183,076
  5. Step 5: Solve for x
    x = 279,551,183,076/249,873
  6. Step 6: Final answer
    x = 1,118,773.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.