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Finding the Third Proportional to 287,577 and 604,897.50

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Solution

The third proportional to 287,577 and 604,897.50 is: 1,272,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,577 : 604,897.50 = 604,897.50 : x
  2. Step 2: Convert to fraction form
    287,577/604,897.50 = 604,897.50/x
  3. Step 3: Cross multiply
    287,577x = 604,897.50 × 604,897.50
  4. Step 4: Simplify right side
    287,577x = 365,900,985,506.25
  5. Step 5: Solve for x
    x = 365,900,985,506.25/287,577
  6. Step 6: Final answer
    x = 1,272,358.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.