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Finding the Third Proportional to 249,971 and 549,970

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Solution

The third proportional to 249,971 and 549,970 is: 1,210,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,971 : 549,970 = 549,970 : x
  2. Step 2: Convert to fraction form
    249,971/549,970 = 549,970/x
  3. Step 3: Cross multiply
    249,971x = 549,970 × 549,970
  4. Step 4: Simplify right side
    249,971x = 302,467,000,900
  5. Step 5: Solve for x
    x = 302,467,000,900/249,971
  6. Step 6: Final answer
    x = 1,210,008.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.