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Finding the Third Proportional to 254,686,734 and 545,713,308

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Solution

The third proportional to 254,686,734 and 545,713,308 is: 1,169,291,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,686,734 : 545,713,308 = 545,713,308 : x
  2. Step 2: Convert to fraction form
    254,686,734/545,713,308 = 545,713,308/x
  3. Step 3: Cross multiply
    254,686,734x = 545,713,308 × 545,713,308
  4. Step 4: Simplify right side
    254,686,734x = 297,803,014,528,302,848
  5. Step 5: Solve for x
    x = 297,803,014,528,302,848/254,686,734
  6. Step 6: Final answer
    x = 1,169,291,426.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.