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Finding the Third Proportional to 636,953.63 and 977,548.50

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Solution

The third proportional to 636,953.63 and 977,548.50 is: 1,500,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,953.63 : 977,548.50 = 977,548.50 : x
  2. Step 2: Convert to fraction form
    636,953.63/977,548.50 = 977,548.50/x
  3. Step 3: Cross multiply
    636,953.63x = 977,548.50 × 977,548.50
  4. Step 4: Simplify right side
    636,953.63x = 955,601,069,852.25
  5. Step 5: Solve for x
    x = 955,601,069,852.25/636,953.63
  6. Step 6: Final answer
    x = 1,500,267.89

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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.