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Finding the Third Proportional to 286,691,913 and 442,711,534.50

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Solution

The third proportional to 286,691,913 and 442,711,534.50 is: 683,638,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,691,913 : 442,711,534.50 = 442,711,534.50 : x
  2. Step 2: Convert to fraction form
    286,691,913/442,711,534.50 = 442,711,534.50/x
  3. Step 3: Cross multiply
    286,691,913x = 442,711,534.50 × 442,711,534.50
  4. Step 4: Simplify right side
    286,691,913x = 195,993,502,779,344,704
  5. Step 5: Solve for x
    x = 195,993,502,779,344,704/286,691,913
  6. Step 6: Final answer
    x = 683,638,058.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.