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Finding the Third Proportional to 249,970 and 539,914

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Solution

The third proportional to 249,970 and 539,914 is: 1,166,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,970 : 539,914 = 539,914 : x
  2. Step 2: Convert to fraction form
    249,970/539,914 = 539,914/x
  3. Step 3: Cross multiply
    249,970x = 539,914 × 539,914
  4. Step 4: Simplify right side
    249,970x = 291,507,127,396
  5. Step 5: Solve for x
    x = 291,507,127,396/249,970
  6. Step 6: Final answer
    x = 1,166,168.45

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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.