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Finding the Third Proportional to 249,872 and 528,724

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Solution

The third proportional to 249,872 and 528,724 is: 1,118,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,872 : 528,724 = 528,724 : x
  2. Step 2: Convert to fraction form
    249,872/528,724 = 528,724/x
  3. Step 3: Cross multiply
    249,872x = 528,724 × 528,724
  4. Step 4: Simplify right side
    249,872x = 279,549,068,176
  5. Step 5: Solve for x
    x = 279,549,068,176/249,872
  6. Step 6: Final answer
    x = 1,118,769.08

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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.