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Finding the Third Proportional to 402,326,523 and 615,182,956.50

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Solution

The third proportional to 402,326,523 and 615,182,956.50 is: 940,654,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,326,523 : 615,182,956.50 = 615,182,956.50 : x
  2. Step 2: Convert to fraction form
    402,326,523/615,182,956.50 = 615,182,956.50/x
  3. Step 3: Cross multiply
    402,326,523x = 615,182,956.50 × 615,182,956.50
  4. Step 4: Simplify right side
    402,326,523x = 378,450,069,968,080,896
  5. Step 5: Solve for x
    x = 378,450,069,968,080,896/402,326,523
  6. Step 6: Final answer
    x = 940,654,041.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.