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Finding the Third Proportional to 249,533,980 and 556,443,824

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Solution

The third proportional to 249,533,980 and 556,443,824 is: 1,240,831,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,533,980 : 556,443,824 = 556,443,824 : x
  2. Step 2: Convert to fraction form
    249,533,980/556,443,824 = 556,443,824/x
  3. Step 3: Cross multiply
    249,533,980x = 556,443,824 × 556,443,824
  4. Step 4: Simplify right side
    249,533,980x = 309,629,729,267,742,976
  5. Step 5: Solve for x
    x = 309,629,729,267,742,976/249,533,980
  6. Step 6: Final answer
    x = 1,240,831,927.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.