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Finding the Third Proportional to 249,072 and 540,030

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Solution

The third proportional to 249,072 and 540,030 is: 1,170,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,072 : 540,030 = 540,030 : x
  2. Step 2: Convert to fraction form
    249,072/540,030 = 540,030/x
  3. Step 3: Cross multiply
    249,072x = 540,030 × 540,030
  4. Step 4: Simplify right side
    249,072x = 291,632,400,900
  5. Step 5: Solve for x
    x = 291,632,400,900/249,072
  6. Step 6: Final answer
    x = 1,170,875.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.