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Finding the Third Proportional to 334,326,343.50 and 506,538,193.50

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Solution

The third proportional to 334,326,343.50 and 506,538,193.50 is: 767,456,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,326,343.50 : 506,538,193.50 = 506,538,193.50 : x
  2. Step 2: Convert to fraction form
    334,326,343.50/506,538,193.50 = 506,538,193.50/x
  3. Step 3: Cross multiply
    334,326,343.50x = 506,538,193.50 × 506,538,193.50
  4. Step 4: Simplify right side
    334,326,343.50x = 256,580,941,474,243,456
  5. Step 5: Solve for x
    x = 256,580,941,474,243,456/334,326,343.50
  6. Step 6: Final answer
    x = 767,456,547.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.