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Finding the Third Proportional to 648,461.06 and 974,779.88

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Solution

The third proportional to 648,461.06 and 974,779.88 is: 1,465,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,461.06 : 974,779.88 = 974,779.88 : x
  2. Step 2: Convert to fraction form
    648,461.06/974,779.88 = 974,779.88/x
  3. Step 3: Cross multiply
    648,461.06x = 974,779.88 × 974,779.88
  4. Step 4: Simplify right side
    648,461.06x = 950,195,804,705.02
  5. Step 5: Solve for x
    x = 950,195,804,705.02/648,461.06
  6. Step 6: Final answer
    x = 1,465,308.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.