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Finding the Third Proportional to 506,852.63 and 708,611.06

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Solution

The third proportional to 506,852.63 and 708,611.06 is: 990,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,852.63 : 708,611.06 = 708,611.06 : x
  2. Step 2: Convert to fraction form
    506,852.63/708,611.06 = 708,611.06/x
  3. Step 3: Cross multiply
    506,852.63x = 708,611.06 × 708,611.06
  4. Step 4: Simplify right side
    506,852.63x = 502,129,637,897.38
  5. Step 5: Solve for x
    x = 502,129,637,897.38/506,852.63
  6. Step 6: Final answer
    x = 990,681.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.