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Finding the Third Proportional to 265,722,468 and 579,797,316

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Solution

The third proportional to 265,722,468 and 579,797,316 is: 1,265,097,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,722,468 : 579,797,316 = 579,797,316 : x
  2. Step 2: Convert to fraction form
    265,722,468/579,797,316 = 579,797,316/x
  3. Step 3: Cross multiply
    265,722,468x = 579,797,316 × 579,797,316
  4. Step 4: Simplify right side
    265,722,468x = 336,164,927,640,803,840
  5. Step 5: Solve for x
    x = 336,164,927,640,803,840/265,722,468
  6. Step 6: Final answer
    x = 1,265,097,867.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.