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Finding the Third Proportional to 334,326,297 and 506,538,130

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Solution

The third proportional to 334,326,297 and 506,538,130 is: 767,456,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,326,297 : 506,538,130 = 506,538,130 : x
  2. Step 2: Convert to fraction form
    334,326,297/506,538,130 = 506,538,130/x
  3. Step 3: Cross multiply
    334,326,297x = 506,538,130 × 506,538,130
  4. Step 4: Simplify right side
    334,326,297x = 256,580,877,143,896,896
  5. Step 5: Solve for x
    x = 256,580,877,143,896,896/334,326,297
  6. Step 6: Final answer
    x = 767,456,462.28

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