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Finding the Third Proportional to 249,870 and 549,498

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Solution

The third proportional to 249,870 and 549,498 is: 1,208,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,870 : 549,498 = 549,498 : x
  2. Step 2: Convert to fraction form
    249,870/549,498 = 549,498/x
  3. Step 3: Cross multiply
    249,870x = 549,498 × 549,498
  4. Step 4: Simplify right side
    249,870x = 301,948,052,004
  5. Step 5: Solve for x
    x = 301,948,052,004/249,870
  6. Step 6: Final answer
    x = 1,208,420.59

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