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Finding the Third Proportional to 698,686.88 and 1,051,528.50

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Solution

The third proportional to 698,686.88 and 1,051,528.50 is: 1,582,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,686.88 : 1,051,528.50 = 1,051,528.50 : x
  2. Step 2: Convert to fraction form
    698,686.88/1,051,528.50 = 1,051,528.50/x
  3. Step 3: Cross multiply
    698,686.88x = 1,051,528.50 × 1,051,528.50
  4. Step 4: Simplify right side
    698,686.88x = 1,105,712,186,312.25
  5. Step 5: Solve for x
    x = 1,105,712,186,312.25/698,686.88
  6. Step 6: Final answer
    x = 1,582,557.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.