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Finding the Third Proportional to 527,506,830 and 775,458,441

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Solution

The third proportional to 527,506,830 and 775,458,441 is: 1,139,958,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,506,830 : 775,458,441 = 775,458,441 : x
  2. Step 2: Convert to fraction form
    527,506,830/775,458,441 = 775,458,441/x
  3. Step 3: Cross multiply
    527,506,830x = 775,458,441 × 775,458,441
  4. Step 4: Simplify right side
    527,506,830x = 601,335,793,718,150,528
  5. Step 5: Solve for x
    x = 601,335,793,718,150,528/527,506,830
  6. Step 6: Final answer
    x = 1,139,958,308.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.